Thomas Lemar fits the bill, he is one of the most sought-after talents in Europe, and has the potential to become one of the worlds greats.
Although Arsenal boss Arsene Wenger has failed to rule out a move for West Brom defender Jonny Evans, he has told Sky Sports that if Manchester City join the race then the Gunners will come out "second best".
Liverpool - as well as Arsenal - were heavily linked with a swoop for Lemar in the summer window but a deal never materialised.
Liverpool and Arsenal will need to meet AS Monaco's £90 million valuation of Thomas Lemar to have a chance of signing the Frenchman this month. Manchester City still hope to strike a deal for Alexis Sanchez this month after their summer deadline day move collapsed, a development that would once again see Arsenal turn to Lemar as a replacement for the Chile global, Saturday's report from L'Equipe added. "The expectation still remains that Lemar will remain in Monaco beyond this month's deadline".
Speaking at a press conference on Monday afternoon, the 43-year-old Portuguese said "we are not used to selling in the winter".
Coutinho bagging a whopping £142 million from Barcelona has motivated Monaco to sell their stalwart for a maximum price as they feel they can squeeze a good amount from the Lemar deal.
Liverpool have already spent a sizeable chunk of any funds by signing Virgil van Dijk from Southampton in a £75 million deal, and the desire to replace Coutinho adequately could also take big investment.