diff --git a/dd-trace-core/src/main/java/datadog/trace/core/util/StackTraces.java b/dd-trace-core/src/main/java/datadog/trace/core/util/StackTraces.java
index c39d3fba63b..47299f034f6 100644
--- a/dd-trace-core/src/main/java/datadog/trace/core/util/StackTraces.java
+++ b/dd-trace-core/src/main/java/datadog/trace/core/util/StackTraces.java
@@ -32,7 +32,7 @@ public static String safeGetMessage(Throwable t) {
     }
     try {
       return t.getMessage();
-    } catch (Exception e) {
+    } catch (Exception | StackOverflowError e) {
       return "(Exception message unavailable for "
           + t.getClass().getSimpleName()
           + ": getMessage() threw "
@@ -60,8 +60,9 @@ public static String getStackTrace(Throwable t, int maxChars) {
       StringWriter sw = new StringWriter();
       t.printStackTrace(new PrintWriter(sw));
       trace = sw.toString();
-    } catch (Exception ignored) {
-      // printStackTrace() failed (e.g. getMessage() throws inside toString()).
+    } catch (Exception | StackOverflowError ignored) {
+      // printStackTrace() failed (e.g. getMessage() throws inside toString(), or a
+      // StackOverflowError while formatting an already stack-constrained throwable).
       // Reconstruct from getStackTrace() so the call site is still locatable.
       try {
         trace =
@@ -70,14 +71,19 @@ public static String getStackTrace(Throwable t, int maxChars) {
                 + Arrays.stream(t.getStackTrace())
                     .map(f -> "\tat " + f)
                     .collect(Collectors.joining(System.lineSeparator()));
-      } catch (Exception ignored2) {
-        trace = t.getClass().getName();
+      } catch (Exception | StackOverflowError ignored2) {
+        try {
+          trace = t.getClass().getName() + ": " + t.getMessage();
+        } catch (Exception | StackOverflowError ignored3) {
+          trace = t.getClass().getName();
+        }
       }
     }
     try {
       return truncate(trace, maxChars);
-    } catch (Exception e) {
-      // If something goes wrong, return the original trace
+    } catch (Exception | StackOverflowError e) {
+      // If something goes wrong (including a further StackOverflowError while the stack is
+      // still constrained), return the untruncated trace rather than propagate.
       return trace;
     }
   }
diff --git a/dd-trace-core/src/test/java/datadog/trace/core/util/StackTracesTest.java b/dd-trace-core/src/test/java/datadog/trace/core/util/StackTracesTest.java
index ba4bc51d4f2..d7d9b045735 100644
--- a/dd-trace-core/src/test/java/datadog/trace/core/util/StackTracesTest.java
+++ b/dd-trace-core/src/test/java/datadog/trace/core/util/StackTracesTest.java
@@ -83,6 +83,29 @@ void safeGetMessageReturnsNullForNullInput() {
     assertNull(StackTraces.safeGetMessage(null));
   }
 
+  @Test
+  void getStackTraceFallsBackWhenPrintStackTraceThrowsStackOverflowError() {
+    String trace =
+        StackTraces.getStackTrace(TestThrowables.throwingStackOverflowOnPrintStackTrace(), 1000);
+    assertTrue(trace.contains("TestThrowables"), "must fall back to a locatable trace");
+  }
+
+  @Test
+  void getStackTraceFallsBackToClassNameAndMessageWhenEverythingElseThrows() {
+    String trace =
+        StackTraces.getStackTrace(
+            TestThrowables.throwingStackOverflowEverywhereExceptGetMessage(), 1000);
+    assertTrue(trace.contains("TestThrowables"), "must include the throwable's class name");
+    assertTrue(trace.contains("still readable"), "must include the throwable's message");
+  }
+
+  @Test
+  void getStackTraceFallsBackToClassNameWhenGetMessageAlsoThrows() {
+    String trace =
+        StackTraces.getStackTrace(TestThrowables.throwingStackOverflowEverywhere(), 1000);
+    assertEquals(trace, TestThrowables.throwingStackOverflowEverywhere().getClass().getName());
+  }
+
   // --- getStackTrace with broken getMessage ---
 
   @ParameterizedTest(name = "truncation limit {0}")
diff --git a/dd-trace-core/src/test/java/datadog/trace/core/util/TestThrowables.java b/dd-trace-core/src/test/java/datadog/trace/core/util/TestThrowables.java
index 42885a4af45..c18ac746940 100644
--- a/dd-trace-core/src/test/java/datadog/trace/core/util/TestThrowables.java
+++ b/dd-trace-core/src/test/java/datadog/trace/core/util/TestThrowables.java
@@ -20,4 +20,64 @@ public String getMessage() {
       }
     };
   }
+
+  /**
+   * Returns a {@link RuntimeException} whose {@link Throwable#printStackTrace(java.io.PrintWriter)}
+   * throws a {@link StackOverflowError} — simulating a second overflow while formatting a throwable
+   * that was itself caught with little remaining stack margin.
+   */
+  public static RuntimeException throwingStackOverflowOnPrintStackTrace() {
+    return new RuntimeException() {
+      @Override
+      public void printStackTrace(java.io.PrintWriter s) {
+        throw new StackOverflowError();
+      }
+    };
+  }
+
+  /**
+   * Returns a {@link RuntimeException} whose {@link Throwable#printStackTrace(java.io.PrintWriter)}
+   * and {@link Throwable#getStackTrace()} both throw {@link StackOverflowError} — simulating a
+   * throwable caught with essentially no remaining stack margin, where even the array-based
+   * fallback in {@link StackTraces#getStackTrace} fails and only {@link Throwable#getMessage()}
+   * remains callable.
+   */
+  public static RuntimeException throwingStackOverflowEverywhereExceptGetMessage() {
+    return new RuntimeException("still readable") {
+      @Override
+      public void printStackTrace(java.io.PrintWriter s) {
+        throw new StackOverflowError();
+      }
+
+      @Override
+      public StackTraceElement[] getStackTrace() {
+        throw new StackOverflowError();
+      }
+    };
+  }
+
+  /**
+   * Returns a {@link RuntimeException} whose {@link
+   * Throwable#printStackTrace(java.io.PrintWriter)}, {@link Throwable#getStackTrace()}, and {@link
+   * Throwable#getMessage()} all throw {@link StackOverflowError} — the worst case, where {@link
+   * StackTraces#getStackTrace} must fall back to just the throwable's class name.
+   */
+  public static RuntimeException throwingStackOverflowEverywhere() {
+    return new RuntimeException() {
+      @Override
+      public void printStackTrace(java.io.PrintWriter s) {
+        throw new StackOverflowError();
+      }
+
+      @Override
+      public StackTraceElement[] getStackTrace() {
+        throw new StackOverflowError();
+      }
+
+      @Override
+      public String getMessage() {
+        throw new StackOverflowError();
+      }
+    };
+  }
 }