Platinum Stars started the better of the two sides and almost took the lead in the 15th minute, but a fantastic fingertip save from Johnny Mathole denied Mabena from the edge of the box.
The home side took a strangle hold of the game thereafter and made their pressure pay with the opening goal in the 35th minute.
Mohomi drove into the box and produced a great bit of skill before firing past the goalie.
Dikwena restored parity five minutes into the second half after a powerfully struck 25-yard free-kick from Mabena found the corner of the goal.
The striker missed two more chances after that, including a free header from a few yards out, while Vuyo Mere should have given scored in the 77th minute when he met Mabena’s cross, but his header shaved the wrong side of the crossbar.
Neither side could find a winner in the final ten minutes as they settled for a share of the spoils.
The draw sees Free State remain 11th place on the table with 34 points, four points adrift of a top eight place.