1. Datamine point, string (polylines), wireframes (TINS): Can all be imported and converted to 2D TAB views using DISCOVER>Import>Vector Import. Alternatively, to preserver 3D data and if you have a Discover3D license, simply drag and drop the .dm file into the 3D window.
They can also convert a TIN wireframe to a RASTER using SURFACES>Vector to Grid. And display on cross section intersects via converting to a DXF using DISCOVER>Vector Transform, and then the Drilllholes Section Manager.
2. Datamine Block Models: These can be loaded as Voxel models in 3D, using Grids>Voxel Manager. After loading into Discover3D, they can be exported to Discover cross section intersect view, and other formats such as thresholded grade shelf DXF vector files.
3. Datamine drillhole database: not currently supported. These will need to be exported to CSV tables and then imported in MapInfo.