diff --git a/CMakeLists.txt b/CMakeLists.txt
index d8c63cf3e4..29716329e5 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -643,6 +643,9 @@ message("${Yellow}-- Updating GAMBIT module, backend, and printer CMake files -
 # Add backends and scanners
 include(cmake/externals.cmake)
 
+# Add datasets
+include(cmake/datasets.cmake)
+
 # Add GAMBIT subdirectories.
 add_subdirectory(Logs)
 add_subdirectory(Utils)
diff --git a/cmake/cleaning.cmake b/cmake/cleaning.cmake
index 88bca04cae..a8524e42c9 100644
--- a/cmake/cleaning.cmake
+++ b/cmake/cleaning.cmake
@@ -126,4 +126,5 @@ add_custom_target(nuke-BOSS COMMAND ${CMAKE_COMMAND} -E remove_directory Backend
                             COMMAND ${CMAKE_COMMAND} -E remove Backends/scripts/BOSS/castxml*.tar.gz)
 add_custom_target(nuke-backends DEPENDS clean-backend-download clean-backend-install)
 add_custom_target(nuke-scanners DEPENDS clean-scanner-download clean-scanner-install)
-add_custom_target(nuke-all DEPENDS distclean nuke-contrib nuke-backends nuke-scanners nuke-BOSS)
+add_custom_target(nuke-datasets)
+add_custom_target(nuke-all DEPENDS distclean nuke-contrib nuke-backends nuke-scanners nuke-datasets nuke-BOSS)
diff --git a/cmake/datasets.cmake b/cmake/datasets.cmake
new file mode 100644
index 0000000000..87cb9d5095
--- /dev/null
+++ b/cmake/datasets.cmake
@@ -0,0 +1,77 @@
+# GAMBIT: Global and Modular BSM Inference Tool
+#************************************************
+# \file
+#
+#  CMake configuration scripts for downloading
+#  datasets required by GAMBIT modules
+#
+#************************************************
+#
+#  Authors (add name and date if you modify):
+#
+#  \author Anders Kvellestad
+#          (anderkve@fys.uio.no)
+#  \date 2022 Feb
+#
+#************************************************
+
+# Define the download command to use for datasets
+set(DL_DATASET "${PROJECT_SOURCE_DIR}/cmake/scripts/safe_dl.sh" "${CMAKE_BINARY_DIR}" "${CMAKE_COMMAND}" "${CMAKE_DOWNLOAD_FLAGS}")
+
+# Define a macro and function for adding nuke targets for downloaded datasets
+macro(get_dataset_paths dataset_name build_path nuke_stamps)
+  set(stamp_path "${CMAKE_BINARY_DIR}/${dataset_name}-prefix/src/${dataset_name}-stamp/${dataset_name}")
+  set(${build_path} "${CMAKE_BINARY_DIR}/${dataset_name}-prefix/src/${dataset_name}-build")
+  set(${nuke_stamps} ${stamp_path}-download ${stamp_path}-mkdir ${stamp_path}-patch ${stamp_path}-update)
+endmacro()
+
+function(add_dataset_nuke dataset_name dir)
+  get_dataset_paths(${dataset_name} build_path nuke-stamps)
+  add_custom_target(nuke-${dataset_name} COMMAND ${CMAKE_COMMAND} -E remove -f ${nuke-stamps}
+                                    COMMAND ${CMAKE_COMMAND} -E remove_directory "${build_path}"
+                                    COMMAND ${CMAKE_COMMAND} -E remove_directory "${dir}")
+  add_dependencies(nuke-datasets nuke-${dataset_name})
+  add_dependencies(nuke-all nuke-${dataset_name})
+endfunction()
+
+# A function to check whether or not a given GAMBIT module has been ditched
+function(check_module_ditch_status module_name)
+  foreach(ditch_command ${itch})
+    execute_process(COMMAND ${PYTHON_EXECUTABLE} -c "print(\"${module_name}\".lower().startswith(\"${ditch_command}\".lower()))"
+                    WORKING_DIRECTORY ${CMAKE_BINARY_DIR}
+                    RESULT_VARIABLE result
+                    OUTPUT_VARIABLE output)
+    if (output STREQUAL "True\n")
+      if(NOT ditched_${module_name})
+        set(ditched_${module_name} TRUE)
+        set(ditched_${module_name} TRUE PARENT_SCOPE)
+      endif()
+    endif()
+  endforeach()
+endfunction()
+
+
+# ===== Add entries for downloadable datasets below ====
+
+
+# Best-fit SLHA files from the GAMBIT GUT-SUSY study in https://arxiv.org/abs/1705.07935
+set(name "best_fits_SLHA_1705_07935")
+set(ver "none")
+set(dl "https://zenodo.org/record/843496/files/best_fits_SLHA.tar.gz")
+set(md5 "none")
+set(for_module "ExampleBit_A")
+set(dir "${PROJECT_SOURCE_DIR}/${for_module}/data/${name}")
+set(dataset_name "dataset-${name}")
+check_module_ditch_status(${for_module})
+if(NOT ditched_${for_module})
+  ExternalProject_Add(${dataset_name}
+    DOWNLOAD_COMMAND ${DL_DATASET} ${dl} ${md5} ${dir} ${name} ${ver}
+    SOURCE_DIR ${dir}
+    CONFIGURE_COMMAND ""
+    BUILD_COMMAND ""
+    INSTALL_COMMAND ""
+  )
+  add_dataset_nuke(${dataset_name} ${dir})
+endif()
+
+
diff --git a/cmake/scripts/safe_dl.sh b/cmake/scripts/safe_dl.sh
index 1de389be0d..8bfa2f97b9 100755
--- a/cmake/scripts/safe_dl.sh
+++ b/cmake/scripts/safe_dl.sh
@@ -44,6 +44,10 @@
 #          (stoecker@physik.rwth-aachen.de)
 #  \date 2020 Aug
 #
+#  \author Anders Kvellestad
+#          (anders.kvellestad@fys.uio.no)
+#  \date 2022 Feb
+#
 #************************************************
 
 # Constants
@@ -62,13 +66,19 @@ if [ $(( ${force_axel} + ${force_wget} + ${force_curl})) -gt 1 ]; then
   exit 1
 fi
 
+# If version number ($8) is set to "none", don't add "_version-number" to the file and path names
+version=_$8
+if [ "$8" = "none" ]; then
+  version=""
+fi
+
 # Download
 axel_worked=0
 suffix=$($2 -E echo $4 | grep -o '\(zip\|tar.gz\|tgz\)')
 if [ ! -z ${sufix} ]; then
   suffix=$($2 -E echo $4 | sed 's#.*\.##g')
 fi
-filename=$7_$8.${suffix}
+filename=$7${version}.${suffix}
 $2 -E make_directory $1 >/dev/null
 
 # Perform download only if the tarball does not already exist (e.g. it was moved there manually)
@@ -150,7 +160,7 @@ if [ "$5" != "none" ]; then
       $2 -E cmake_echo_color --red --bold  "Deleting downloaded file."
       # Delete the file if the md5 is bad, and make a stamp saying so, as cmake does not actually check if DOWNLOAD_COMMAND fails.
       $2 -E remove $1/${filename}
-      $2 -E touch $7_$8-stamp/$7_$8-download-failed
+      $2 -E touch $7${version}-stamp/$7${version}-download-failed
       exit 1
     fi
   }