Apart from what has already been suggested.
In the Mill/Drill, I use one of the centering devices, (a 90 degree V, with a small pointer, pivoted on a spindle held in a drill chuck) followed by a Centre Driil.
Also, I have the redundant centre square from a scrap combination set, which has been drilled/reamed and carrying a hardened silver steel centre punch, which is used to dot the centre of the round bar.
If you are dubious about using a centre drill straight away on the round surface, after centering, mill a small flat, and then centre the work piece, as above.
If all else fails MEASURE, either using cigarette papers, held on with oil/grease on each side with a drill/end mill/slot drill ; or use a wobbler or edge finder, or zero a clock on the fixed vice jaw, and move the table half the diameter of the bar.
DON'T forget to take out/allow for, the backlash when noting the scale readings and to allow for the diameter of the cutter/wobbler/edgefinder probe!
Howard