McCall, 50, arrived at Ibrox in March, replacing Kenny McDowall as manager with Rangers in turmoil. However, the former Motherwell boss steadied the ship, losing just one of his games before the play-offs as Rangers had aspirations of promotion to the Scottish Premiership.
Despite wins over Queen of the South and Hibernian, hose dreams died in the final as they were emphatically beaten 6-1 on aggregate by Motherwell.
That means Rangers are now facing up to life in the Scottish Championship once again, with the future of McCall in doubt as he comes to the end of his short-term contract.
The report from STV states that five candidates are in the running to be named permanent Rangers manager; Mark Warburton, Ian Cathro, Derek McInnes and Billy Davies - as well as McCall.
They believe that McCall held talks with Rangers chairman Dave King over staying as the club's manager this summer, and even discussed potential transfer targets as preparation in case he does get the job.
Given the end to the season, Rangers fans may not be too happy with that, but former Brentford boss Warburton remains the clear favourite with the bookmakers.