This　review　paper　summarizes　and　analyses　the　current　literature　on　the　synthesis　of　dense　MgB2　bulk　with　high　density　and　by　both　the　modified　solid　reaction　method　and　the　Mg　infiltration　method.　MgB2　bulk　shows　Telsa-level　magnetic　field-trapping　ability　in　small　volumes　(1–5　cm3)　at　15–20　K,　which　is　beneficial　for　multiple　applications,　particularly　where　light　weighting　is　beneficial.　The　review　also　compares　the　properties　of　MgB2　to　rare　earth　barium　cuprate　bulk　magnets　and　NbTi　solenoid　magnets　and　discuess　potential　applications　such　as　magnetic　lenses,　compact　NMR,　and　magnetic　shielding.　©　2022