diff --git a/tests/CMakeLists.txt b/tests/CMakeLists.txt
index 71babe949..32c20a5a5 100644
--- a/tests/CMakeLists.txt
+++ b/tests/CMakeLists.txt
@@ -254,6 +254,7 @@ if( HAVE_BUILD_TOOLS )
         grib_ecc-1000
         grib_ecc-1001
         grib_ecc-1030
+        grib_ecc-1364
         grib_ecc-1397
         grib_ecc-1425
         grib_ecc-1467
diff --git a/tests/grib_ecc-1364.sh b/tests/grib_ecc-1364.sh
new file mode 100755
index 000000000..cb4555834
--- /dev/null
+++ b/tests/grib_ecc-1364.sh
@@ -0,0 +1,52 @@
+#!/bin/sh
+# (C) Copyright 2005- ECMWF.
+#
+# This software is licensed under the terms of the Apache Licence Version 2.0
+# which can be obtained at http://www.apache.org/licenses/LICENSE-2.0.
+# 
+# In applying this licence, ECMWF does not waive the privileges and immunities granted to it by
+# virtue of its status as an intergovernmental organisation nor does it submit to any jurisdiction.
+#
+
+. ./include.ctest.sh
+
+
+# ECC-1364: GRIB: Geoiterator for Lambert Conformal in the southern hemisphere
+
+label="grib_ecc-1364_test"
+tempGrib=temp.$label.grib
+tempFilt=temp.$label.filt
+tempLog=temp.$label.log
+tempRef=temp.$label.ref
+
+sample_grib1=$ECCODES_SAMPLES_PATH/GRIB1.tmpl
+
+# Create a GRIB with a similar grid to the one in the JIRA issue
+cat >$tempFilt<<EOF
+  set dataRepresentationType = 3; # lambert conformal conic
+  set resolutionAndComponentFlags = 136;
+  set Nx = 999;
+  set Ny = 1249;
+  set latitudeOfFirstGridPoint = -54387;
+  set longitudeOfFirstGridPoint = 265669;
+  set LoV = 295000;
+  set DxInMetres = 4000;
+  set DyInMetres = 4000;
+  set projectionCentreFlag = 128;
+  set Latin1 = -35000;
+  set Latin2 = -35000;
+  set latitudeOfSouthernPole = -90000;
+  set scanningMode = 64; # +i +j
+  write;
+EOF
+${tools_dir}/grib_filter -o $tempGrib $tempFilt $sample_grib1
+
+${tools_dir}/grib_get_data $tempGrib > $tempLog
+
+${tools_dir}/grib_ls -l -11.6277,-47.9583,1 $tempGrib > $tempLog
+grep -q "Grid Point chosen #1 index=1247750 " $tempLog
+grep -q "index=1247750 .* distance=0.01 " $tempLog
+
+
+# Clean up
+rm -f $tempGrib $tempFilt $tempLog $tempRef