Sam Allardyce is also, allegedly, in the frame, but he withdrew his name from the Rovers reckoning in the summer when it became clear that Ince was going to get the job.
Souness guided Blackburn to the League Cup and European football before quitting for St James's Park four years ago.
Souness is a popular figure at Ewood (or was until his closing weeks in the job), but Allardyce was in charge of bitter local rivals Bolton for eight years and there was uproar when he was even considered in the summer!