diff --git a/include/svs/core/medioid.h b/include/svs/core/medioid.h
index 0acf49c98..8bd95786e 100644
--- a/include/svs/core/medioid.h
+++ b/include/svs/core/medioid.h
@@ -18,6 +18,7 @@
 
 #include "svs/concepts/data.h"
 #include "svs/lib/array.h"
+#include "svs/lib/exception.h"
 #include "svs/lib/misc.h"
 #include "svs/lib/neighbor.h"
 #include "svs/lib/threads.h"
@@ -341,8 +342,20 @@ size_t find_medioid(
         }
     });
 
+    // When every distance is beyond float range, Infinity, or NaN, nothing beats the
+    // sentinel. Callers use the result as a graph entry point, so it must still satisfy
+    // the predicate: a deleted entry point breaks consolidation and compaction of dynamic
+    // indexes.
     if (global_min.id() >= data.size()) {
-        global_min = Neighbor<size_t>(0, global_min.distance());
+        for (size_t i = 0, imax = data.size(); i < imax; ++i) {
+            if (predicate(i)) {
+                return i;
+            }
+        }
+        throw ANNEXCEPTION(
+            "Cannot find a medioid: none of the {} elements satisfies the predicate.",
+            data.size()
+        );
     }
 
     return global_min.id();
diff --git a/tests/svs/core/medioid.cpp b/tests/svs/core/medioid.cpp
index 79a16ab69..76d51a3f3 100644
--- a/tests/svs/core/medioid.cpp
+++ b/tests/svs/core/medioid.cpp
@@ -25,6 +25,11 @@
 
 // catch2
 #include "catch2/catch_test_macros.hpp"
+#include "catch2/matchers/catch_matchers_string.hpp"
+
+// stl
+#include <limits>
+#include <vector>
 
 ///// helpers
 namespace {
@@ -207,3 +212,42 @@ CATCH_TEST_CASE("Testing Medioid Computation", "[core][medioid]") {
         ));
     }
 }
+
+CATCH_TEST_CASE("Find Medioid with Extreme Values", "[core][medioid]") {
+    // Element 0 is excluded by the predicate in every section: it stands in for the
+    // deleted entry point of a dynamic index, which must never be returned.
+    auto skip_first = [](const size_t i) { return i != 0; };
+    svs::threads::DefaultThreadPool threadpool(2);
+
+    CATCH_SECTION("Squared distances beyond float range") {
+        // One element at 3e38 moves the medioid to about 3.3e37, so every squared
+        // distance to it exceeds the float range and nothing beats the sentinel. The
+        // first element that satisfies the predicate is returned.
+        auto data = svs::data::SimpleData<float>(10, 2);
+        for (size_t i = 0; i < 9; ++i) {
+            data.set_datum(i, std::vector<float>{float(i), float(i)});
+        }
+        data.set_datum(9, std::vector<float>{3e38f, 3e38f});
+        CATCH_REQUIRE(svs::utils::find_medioid(data, threadpool, skip_first) == 1);
+    }
+
+    CATCH_SECTION("No finite distance") {
+        auto data = svs::data::SimpleData<float>(4, 2);
+        auto nan = std::numeric_limits<float>::quiet_NaN();
+        for (size_t i = 0; i < data.size(); ++i) {
+            data.set_datum(i, std::vector<float>{nan, nan});
+        }
+        // Nothing compares smaller than the sentinel, so the first element that
+        // satisfies the predicate is returned.
+        CATCH_REQUIRE(svs::utils::find_medioid(data, threadpool, skip_first) == 1);
+    }
+
+    CATCH_SECTION("No element satisfies the predicate") {
+        auto data = svs::data::SimpleData<float>(4, 2);
+        auto none = [](const size_t) { return false; };
+        CATCH_REQUIRE_THROWS_WITH(
+            svs::utils::find_medioid(data, threadpool, none),
+            Catch::Matchers::ContainsSubstring("none of the 4 elements")
+        );
+    }
+}
diff --git a/tests/svs/index/vamana/dynamic_index_2.cpp b/tests/svs/index/vamana/dynamic_index_2.cpp
index e590ae547..2daeda29e 100644
--- a/tests/svs/index/vamana/dynamic_index_2.cpp
+++ b/tests/svs/index/vamana/dynamic_index_2.cpp
@@ -675,3 +675,47 @@ CATCH_TEST_CASE("Dynamic Vamana Index Default Parameters", "[parameter][vamana]"
         );
     }
 }
+
+CATCH_TEST_CASE(
+    "Dynamic Vamana Index Compact After Far-Away Point", "[graph_index][dynamic_index]"
+) {
+    // A point whose squared distances overflow float made consolidate pick a deleted
+    // point as the new entry point, and compact then failed with "Couldn't find key."
+    const size_t dims = 8;
+    const size_t num_points = 500;
+    std::mt19937 rng(1234);
+    std::uniform_real_distribution<float> uniform(0, 1);
+    auto data = svs::data::BlockedData<float>(num_points, dims);
+    std::vector<float> datum(dims);
+    for (size_t i = 0; i < num_points; ++i) {
+        std::generate(datum.begin(), datum.end(), [&]() { return uniform(rng); });
+        data.set_datum(i, datum);
+    }
+    std::vector<size_t> ids(num_points);
+    std::iota(ids.begin(), ids.end(), 0);
+
+    svs::index::vamana::VamanaBuildParameters parameters{1.2, 32, 64, 1000, 28, true};
+    auto index = svs::index::vamana::MutableVamanaIndex(
+        parameters, std::move(data), ids, Distance(), 2
+    );
+
+    auto far_point = svs::data::SimpleData<float>(1, dims);
+    far_point.set_datum(0, std::vector<float>(dims, 3e38f));
+    index.add_points(far_point, std::vector<size_t>{num_points});
+
+    // Delete the entry point, so consolidate must choose a new one, and point 0, which
+    // consolidate used to fall back to when no distance was below the float sentinel.
+    size_t entry_point = index.translate_internal_id(index.entry_point());
+    std::vector<size_t> to_delete{entry_point};
+    if (entry_point != 0) {
+        to_delete.push_back(0);
+    }
+    index.delete_entries(to_delete);
+    index.consolidate();
+    CATCH_REQUIRE(!index.is_deleted(index.entry_point()));
+
+    index.compact();
+    index.debug_check_invariants(false);
+    CATCH_REQUIRE(index.size() == num_points + 1 - to_delete.size());
+    CATCH_REQUIRE(index.has_id(num_points));
+}