The 25-year-old striker has been heavily linked with a move to the Premier League, where Everton are pushing to sign him.
Sean Dyche wants to add more attacking threats to his Everton squad before the transfer window closes next Friday.
Everton have been in talks with Udinese for the forward but their initial offer of €26m did not impress the Serie A outfit.
However, according to Spanish outlet Relevo, there is no optimism that a deal will go through after Everton improved their bid.
The Toffees’ fresh offer is up to €30m and the two clubs are now closing in on an agreement for the transfer.
Everton are optimistic that they will have a deal in place to sign Beto from Udinese in the coming days.
The Portuguese forward is keen on the move and is waiting for the two clubs to work out an agreement.