diff --git a/clang-tools-extra/clang-tidy/ClangTidyDiagnosticConsumer.cpp b/clang-tools-extra/clang-tidy/ClangTidyDiagnosticConsumer.cpp
--- a/clang-tools-extra/clang-tidy/ClangTidyDiagnosticConsumer.cpp
+++ b/clang-tools-extra/clang-tidy/ClangTidyDiagnosticConsumer.cpp
@@ -590,6 +590,7 @@
     // An event can be either the begin or the end of an interval.
     enum EventType {
       ET_Begin = 1,
+      ET_Insert = 0,
       ET_End = -1,
     };
 
@@ -623,6 +624,8 @@
       //   disallowing the first one.
       if (Type == ET_Begin)
         Priority = std::make_tuple(Begin, Type, -End, -ErrorSize, ErrorId);
+      else if (Type == ET_Insert)
+        Priority = std::make_tuple(Begin, Type, -End, ErrorSize, ErrorId);
       else
         Priority = std::make_tuple(End, Type, -Begin, ErrorSize, ErrorId);
     }
@@ -669,12 +672,13 @@
         unsigned Begin = Replace.getOffset();
         unsigned End = Begin + Replace.getLength();
         const std::string &FilePath = std::string(Replace.getFilePath());
-        // FIXME: Handle empty intervals, such as those from insertions.
-        if (Begin == End)
-          continue;
         auto &Events = FileEvents[FilePath];
-        Events.emplace_back(Begin, End, Event::ET_Begin, I, Sizes[I]);
-        Events.emplace_back(Begin, End, Event::ET_End, I, Sizes[I]);
+        if (Begin == End) {
+          Events.emplace_back(Begin, End, Event::ET_Insert, I, Sizes[I]);
+        } else {
+          Events.emplace_back(Begin, End, Event::ET_Begin, I, Sizes[I]);
+          Events.emplace_back(Begin, End, Event::ET_End, I, Sizes[I]);
+        }
       }
     }
   }
@@ -686,6 +690,11 @@
     llvm::sort(Events);
     int OpenIntervals = 0;
     for (const auto &Event : Events) {
+      if (Event.Type == Event::ET_Insert) {
+        if (OpenIntervals != 0)
+          Apply[Event.ErrorId] = false;
+        continue;
+      }
       if (Event.Type == Event::ET_End)
         --OpenIntervals;
       // This has to be checked after removing the interval from the count if it
diff --git a/clang-tools-extra/test/clang-tidy/checkers/cppcoreguidelines-init-variables-conflict.cpp b/clang-tools-extra/test/clang-tidy/checkers/cppcoreguidelines-init-variables-conflict.cpp
new file mode 100644
--- /dev/null
+++ b/clang-tools-extra/test/clang-tidy/checkers/cppcoreguidelines-init-variables-conflict.cpp
@@ -0,0 +1,15 @@
+// RUN: %check_clang_tidy %s cppcoreguidelines-init-variables,readability-isolate-declaration %t
+
+void foo() {
+  int A, B, C;
+  // CHECK-MESSAGES-DAG: :[[@LINE-1]]:7: warning: variable 'A' is not initialized
+  // CHECK-MESSAGES-DAG: :[[@LINE-2]]:10: warning: variable 'B' is not initialized
+  // CHECK-MESSAGES-DAG: :[[@LINE-3]]:13: warning: variable 'C' is not initialized
+  // CHECK-MESSAGES-DAG: :[[@LINE-4]]:3: warning: multiple declarations in a single statement reduces readability
+
+  // Only the isolate declarations fix-it should be applied
+
+  //      CHECK-FIXES: int A;
+  // CHECK-FIXES-NEXT: int B;
+  // CHECK-FIXES-NEXT: int C;
+}
\ No newline at end of file