The Sun say Gomes remains at top target for Spurs chief Maurico Pochettino.
The Spaniard was on the cusp of a move to north London in January.
But a move failed to materialise as Spurs tried to get a deal through on deadline day.
Gomes could still swap Catalonia for Wembley, though.
The Sun say a New Year raid is on the cards.
Gomes, who only joined Barca from Valencia last summer, suffered a stop-start campaign last season.
He is not part of Ernseto Valverde’s plans for this season and needs to revive his flagging career.
Barkley has also been tipped as a potential arrival at Tottenham.
However, The Sun reckon Gomes will be viewed as a more cost-effective option.
He could be available for around £20m, or Barcelona might sanction a loan move.
Barkley, despite his refusal to sign a new Everton deal, would cost Pochettino considerably more.
