Grujic is currently undergoing rehab for a second ankle injury suffered on loan at Hertha Berlin this season, having established himself as a key player under Pal Dardai.
Meanwhile, Mignolet and Origi remain backup options for Jurgen Klopp, having clocked just 173 minutes between them for the Reds this season so far.
But neither Mignolet or Origi are expected to leave, with next summer instead poised as one of change for the Belgian duo.
According to Het Nieuwblad, the club are “willing to cooperate” over a winter exit for Origi, but Klopp “does not intend to sell” Mignolet despite the goalkeeper’s desire to “visit other places.”
However, according to another Belgian publication Het Laatste Nieuws, while Liverpool would be willing to allow Origi to leave, he is in “no rush” to depart.
Instead, both he and Mignolet will wait until next summer to weigh up their options, with greater interest expected during the off-season.
Grujic’s future is likely to be in contention at the end of the current campaign, with Hertha previously expressing an interest in extending his loan deal into 2019/20.
Despite his injury issues, the Serbian has shone in his seven Bundesliga appearances so far, and scored his first goal for the club with the winner in a 1-0 victory over Eintracht Frankfurt in December.
But speaking to Sport Bild this week, Hertha general manager Michael Preetz cast doubt over any possibility of re-signing Grujic in the summer.
“There is no agreement with Liverpool on the loan after the end of the season. Liverpool want to put him in the position to be a supporting player,” he explained.
This serves as an interesting insight into Klopp’s plan for Grujic, who could return to Merseyside as another midfield option alongside the likes of Fabinho, Gini Wijnaldum, Naby Keita, Jordan Henderson and Alex Oxlade-Chamberlain.
According to Sky Sports, the Bundesliga side are “denying any interest” in the striker, though they add that “reports Solanke has already completed a medical [at Palace] are premature.”
Finally, in Italy, Corriere dello Sport (via Sport Witness) claim Lazio could push forward a deal to sign Liverpool U23s winger Bobby Adekanye as soon as this month.
Adekanye was expected to sign a pre-contract deal with the Serie A outfit, but director of football Igli Tare could fly to England to complete a transfer—potentially with a view to the Dutchman joining in January.