Liverpool expressed their deep interest in signing Olympiakos left-back Kostas Tsimikas after their initial attempt to sign Norwich's Jamal Lewis failed.
"The Reds had a £10m bid for 22-year-old Lewis, which included a substantial sell-on clause, rejected," BBC reported.
They were prepared to go to £12m but the Canaries wanted significantly more for the Northern Ireland international.
The Greece international played for Olympiakos in a 1-0 defeat by Wolves in the second leg of their last-16 Europa League leg this week as his side went out 2-1 on aggregate.
He also played for them in their six Champions League group games earlier on in the campaign as they finished third behind Bayern Munich and Tottenham.