The Spanish coach has already made several signings since succeeding Arsene Wenger, bringing in Stephan Lichtsteiner, Sokratis Papastathopoulos and Bernd Leno, with more expected before next month.
Emery has now turned his attentions to Arsenal's attack, with Portugal international Gomes said to be on the coach's wishlist, according to the Independent.
However, Barca are believed to have put a £30 million (R541 million) price tag on the playmaker, which seemingly exceeds the remaining transfer budget in north London.
That has led to claims Emery could be willing to offload players in order to push a deal through, with Mesut Ozil thought to be on the potential chopping block after some uninspiring performances for both Arsenal and during Germany's failed World Cup title defence.