In addition to signing Roma forward Fabio Borini, Liverpool manager Brendan Rodgers is reportedly keen on raiding former club Swansea for Joe Allen.
Borini, who has previously had a spell at Swansea, spent last season on loan at Roma from Parma and signed for them on a permanent deal at the end of last month.
But BBC Sport reported late on Monday that Liverpool are closing in on the 21-year-old in a deal worth in the region of £8million, and on Tuesday it was thought talks between the two clubs were still ongoing.
Rodgers on Monday revealed he was hoping to announce a new signing before the end of the week, and according to Goal.com, he is looking to lure Allen to Anfield once a deal for Borini is completed.
A move for Allen would break an agreement that is in place between the two clubs. When Rodgers took charge of Liverpool, it was agreed that he would be unable to sign any Swansea players for the next twelve months.
But according to Tuesday's report, Liverpool are trying to work around the agreement.
Scott Sinclair has also been linked with a move to Merseyside in recent weeks.
After seeing Rodgers move to Merseyside, Swansea chairman Huw Jenkins had said: "I have a good relationship with Brendan and we've got some protection with him coming back in for our players in the short term.
"We've got that agreement and a 12 month respite. The most important thing is our relationship is intact. We have to look after our own interests and look to continue in the right manner."
Speaking to reporters on Monday, Rodgers had admitted he had made enquiries for "three or four" players.
"Hopefully we'll get one tied up this week," he said.
"I will never speak about targets and possible players. There has been a whole raft of players linked but there are very few that are actual real targets."