diff --git a/sycl/include/sycl/ext/intel/esimd/detail/bfloat16_type_traits.hpp b/sycl/include/sycl/ext/intel/esimd/detail/bfloat16_type_traits.hpp
index 2d0c17a3c6100..6a935ae9c3390 100644
--- a/sycl/include/sycl/ext/intel/esimd/detail/bfloat16_type_traits.hpp
+++ b/sycl/include/sycl/ext/intel/esimd/detail/bfloat16_type_traits.hpp
@@ -94,6 +94,8 @@ inline std::ostream &operator<<(std::ostream &O, bfloat16 const &rhs) {
   return O;
 }
 
+template <> struct is_esimd_arithmetic_type<bfloat16, void> : std::true_type {};
+
 } // namespace ext::intel::esimd::detail
 } // namespace _V1
 } // namespace sycl
diff --git a/sycl/include/sycl/ext/oneapi/bfloat16.hpp b/sycl/include/sycl/ext/oneapi/bfloat16.hpp
index 7ff30b9438f9d..38af8fe5358a2 100644
--- a/sycl/include/sycl/ext/oneapi/bfloat16.hpp
+++ b/sycl/include/sycl/ext/oneapi/bfloat16.hpp
@@ -198,17 +198,6 @@ class bfloat16 {
     float f = static_cast<float>(lhs);                                         \
     f op static_cast<float>(rhs);                                              \
     return lhs = f;                                                            \
-  }                                                                            \
-  template <typename T>                                                        \
-  friend bfloat16 &operator op(bfloat16 & lhs, const T & rhs) {                \
-    float f = static_cast<float>(lhs);                                         \
-    f op static_cast<float>(rhs);                                              \
-    return lhs = f;                                                            \
-  }                                                                            \
-  template <typename T> friend T &operator op(T & lhs, const bfloat16 & rhs) { \
-    float f = static_cast<float>(lhs);                                         \
-    f op static_cast<float>(rhs);                                              \
-    return lhs = f;                                                            \
   }
   OP(+=)
   OP(-=)
@@ -222,11 +211,13 @@ class bfloat16 {
     return type{static_cast<float>(lhs) op static_cast<float>(rhs)};           \
   }                                                                            \
   template <typename T>                                                        \
-  friend type operator op(const bfloat16 &lhs, const T &rhs) {                 \
+  friend std::enable_if_t<std::is_convertible_v<T, float>, type> operator op(  \
+      const bfloat16 & lhs, const T & rhs) {                                   \
     return type{static_cast<float>(lhs) op static_cast<float>(rhs)};           \
   }                                                                            \
   template <typename T>                                                        \
-  friend type operator op(const T &lhs, const bfloat16 &rhs) {                 \
+  friend std::enable_if_t<std::is_convertible_v<T, float>, type> operator op(  \
+      const T & lhs, const bfloat16 & rhs) {                                   \
     return type{static_cast<float>(lhs) op static_cast<float>(rhs)};           \
   }
   OP(bfloat16, +)
diff --git a/sycl/test-e2e/ESIMD/regression/bfloat16_half_vector_plus_eq_scalar.cpp b/sycl/test-e2e/ESIMD/regression/bfloat16_half_vector_plus_eq_scalar.cpp
index e6b456100762f..e78f0e22045ef 100644
--- a/sycl/test-e2e/ESIMD/regression/bfloat16_half_vector_plus_eq_scalar.cpp
+++ b/sycl/test-e2e/ESIMD/regression/bfloat16_half_vector_plus_eq_scalar.cpp
@@ -91,8 +91,7 @@ int main() {
   }
 
 #ifdef USE_BF16
-// TODO: Reenable once the issue with bfloat16 is resolved
-// Passed &= test<sycl::ext::oneapi::bfloat16>(Q);
+  Passed &= test<sycl::ext::oneapi::bfloat16>(Q);
 #endif
 #ifdef USE_TF32
   Passed &= test<sycl::ext::intel::experimental::esimd::tfloat32>(Q);
diff --git a/sycl/test-e2e/ESIMD/regression/bfloat16_vector_plus_scalar.cpp b/sycl/test-e2e/ESIMD/regression/bfloat16_vector_plus_scalar.cpp
new file mode 100644
index 0000000000000..7f6388b0ffc2e
--- /dev/null
+++ b/sycl/test-e2e/ESIMD/regression/bfloat16_vector_plus_scalar.cpp
@@ -0,0 +1,100 @@
+// RUN: %{build} -o %t.out
+// RUN: %{run} %t.out
+//==- bfloat16_vector_plus_scalar.cpp - Test for bfloat16 operators ------==//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+#include "../esimd_test_utils.hpp"
+#include <iostream>
+#include <sycl/ext/intel/esimd.hpp>
+#include <sycl/sycl.hpp>
+
+using namespace sycl;
+using namespace sycl::ext::intel::esimd;
+using namespace sycl::ext::intel::experimental::esimd;
+
+template <typename T> ESIMD_NOINLINE bool test(queue Q) {
+  std::cout << "Testing T=" << esimd_test::type_name<T>() << "...\n";
+
+  constexpr int N = 8;
+
+  constexpr int NumOps = 4;
+  constexpr int CSize = NumOps * N;
+
+  T *Mem = malloc_shared<T>(CSize, Q);
+  T TOne = static_cast<T>(1);
+  T TTen = static_cast<T>(10);
+
+  Q.single_task([=]() SYCL_ESIMD_KERNEL {
+     {
+       simd<T, N> Vec(TOne);
+       Vec = Vec + TTen;
+       Vec.copy_to(Mem);
+     }
+     {
+       simd<T, N> Vec(TOne);
+       Vec = Vec - TTen;
+       Vec.copy_to(Mem + N);
+     }
+     {
+       simd<T, N> Vec(TOne);
+       Vec = Vec * TTen;
+       Vec.copy_to(Mem + 2 * N);
+     }
+     {
+       simd<T, N> Vec(TOne);
+       Vec = Vec / TTen;
+       Vec.copy_to(Mem + 3 * N);
+     }
+   }).wait();
+
+  bool ReturnValue = true;
+  for (int i = 0; i < N; ++i) {
+    if (Mem[i] != TOne + TTen) {
+      ReturnValue = false;
+      break;
+    }
+    if (Mem[i + N] != TOne - TTen) {
+      ReturnValue = false;
+      break;
+    }
+    if (Mem[i + 2 * N] != TOne * TTen) {
+      ReturnValue = false;
+      break;
+    }
+    if (!((Mem[i + 3 * N] == (TOne / TTen)) ||
+          (std::abs((double)(Mem[i + 3 * N] - (TOne / TTen)) /
+                    (double)(TOne / TTen)) <= 0.001))) {
+      ReturnValue = false;
+      break;
+    }
+  }
+
+  free(Mem, Q);
+  return ReturnValue;
+}
+
+int main() {
+  queue Q;
+  esimd_test::printTestLabel(Q);
+
+  bool SupportsHalf = Q.get_device().has(aspect::fp16);
+
+  bool Passed = true;
+  Passed &= test<int>(Q);
+  Passed &= test<float>(Q);
+  if (SupportsHalf) {
+    Passed &= test<sycl::half>(Q);
+  }
+#ifdef USE_BF16
+  Passed &= test<sycl::ext::oneapi::bfloat16>(Q);
+#endif
+#ifdef USE_TF32
+  Passed &= test<sycl::ext::intel::experimental::esimd::tfloat32>(Q);
+#endif
+  std::cout << (Passed ? "Passed\n" : "FAILED\n");
+  return Passed ? 0 : 1;
+}
\ No newline at end of file
diff --git a/sycl/test-e2e/ESIMD/regression/bfloat16_vector_plus_scalar_pvc.cpp b/sycl/test-e2e/ESIMD/regression/bfloat16_vector_plus_scalar_pvc.cpp
new file mode 100644
index 0000000000000..2bffa62cc3337
--- /dev/null
+++ b/sycl/test-e2e/ESIMD/regression/bfloat16_vector_plus_scalar_pvc.cpp
@@ -0,0 +1,17 @@
+//==- bfloat16_vector_plus_scalar_pvc.cpp - Test for bfloat16 operators -==//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+// This test validates operations between simd vector and scalars for
+// bfloat16 and tfloat32 types that are available only on PVC.
+//===----------------------------------------------------------------------===//
+// REQUIRES: gpu-intel-pvc
+// RUN: %{build} -o %t.out
+// RUN: %{run} %t.out
+
+#define USE_BF16
+#define USE_TF32
+#include "bfloat16_vector_plus_scalar.cpp"
\ No newline at end of file
diff --git a/sycl/test/type_traits/half_operator_types.cpp b/sycl/test/type_traits/half_operator_types.cpp
index e0190935a4f85..17558d5c179ad 100644
--- a/sycl/test/type_traits/half_operator_types.cpp
+++ b/sycl/test/type_traits/half_operator_types.cpp
@@ -103,6 +103,8 @@ int main() {
   check_half_math_operator_types<int, sycl::half>(Queue);
   check_half_math_operator_types<long, sycl::half>(Queue);
   check_half_math_operator_types<long long, sycl::half>(Queue);
+  check_half_math_operator_types<sycl::ext::oneapi::bfloat16,
+                                 sycl::ext::oneapi::bfloat16>(Queue);
 
   check_half_logical_operator_types<sycl::half>(Queue);
   check_half_logical_operator_types<double>(Queue);
@@ -110,4 +112,5 @@ int main() {
   check_half_logical_operator_types<int>(Queue);
   check_half_logical_operator_types<long>(Queue);
   check_half_logical_operator_types<long long>(Queue);
+  check_half_logical_operator_types<sycl::ext::oneapi::bfloat16>(Queue);
 }