Summerville, 20, joined Leeds United in 2020 from Feyenoord but has yet to establish himself as a first team regular with the Elland Road club. He is well known to Rangers manager Giovanni van Bronckhorst, a former Feyenoord head coach, and a loan move is thought to be under consideration.
Skov Olsen, 22, is a more established performer with 14 caps and six goals for Denmark with whom he reached the Euro 2020 semi-finals last year. But he has fallen out of favour at Bologna and the Serie A outfit may consider offers for him this month.
Van Bronckhorst has stated his determination that Rangers do not end the January transfer window with a weaker squad than the one they started it with.
But several of his higher-profile first-team players are on the wish list of English Premier League clubs with winger Ryan Kent linked with a reunion with former Rangers manager Steven Gerrard at Aston Villa and Everton keen on Nathan Patterson, while in-form Joe Aribo is being closely monitored by Southampton.
Some firm moves have already been confirmed as Kai Kennedy is returning to the Rangers training centre halfway through his season-long loan at Dunfermline and Ben Williamson was recalled from Livingston and loaned back out to Raith Rovers.