Celtic could face a repeat of their Co-operative Insurance Cup semi-final against Aberdeen following the draw for the last four of the Scottish Cup.
Celtic will face the winners of Wednesday's Pittodrie replay between Aberdeen and St Mirren if they win at Inverness in their rearranged game on the same night.
Celtic beat Aberdeen 4-1 in January to reach the final of the Co-operative Insurance Cup.
With all eight quarter-finalists in the hat, there were more questions than answers following the draw, with Dundee United or Motherwell facing either Brechin or St Johnstone in the other tie.
St Johnstone and Brechin will replay at McDiarmid Park next Tuesday following their 2-2 draw, the same scoreline shared by United and Motherwell.
The Fir Park replay has been confirmed for March 29, although both clubs may yet seek a new date given the match falls two days after Scotland face Brazil, and on another international date.