The Mirror says Etoâ€™o, 28, is one of the most sought-after strikers in Europe after failing to agree a new deal at the Nou Camp.
Barca believe offering him to Liverpool for unsettled Mascherano could help to smooth a deal. Reds boss Rafa Benitez insisted earlier this week that he wasnâ€™t willing to sell his Argentine defensive midfielder to Barca â€śat any priceâ€ť â€“ even ÂŁ50million.
But Mascheranoâ€™s agent, Walter Tamer, also spoke this week about Mascheranoâ€™s â€śdreamâ€ť of playing for the Champions League winners.
And Barca are also well aware of Liverpoolâ€™s financial woes as well as their lack of depth in attack. Etoâ€™o has just a year left on his current deal.