Rangers have drawn up a new shortlist of candidates, including Danny Rohl and Kevin Muscat, talkSPORT understands.
Former boss Steven Gerrard pulled out of talks to become their new manager after holding face-to-face negotiations.
Former Sheffield Wednesday boss Rohl has already held talks about replacing the sacked Russell Martin .
Sources have confirmed to talkSPORT that Rangers still have multiple names on their shortlist.
Former Ibrox star Muscat is believed to have made the new list having impressed with his work in Japan and Australia.
He is currently in China at Shanghai Port, and is close to winning the league title.
As previously reported, Derek McInnes is appreciated but Hearts will fight to keep him.
Ex-West Ham and Croatia chief Slaven Bilic has also been discussed