Arsenal continue to look to bolster the squad, having signed £35million Switzerland international Granit Xhaka.
Inter Milan defender Jeison Murillo is one reported target, as is AC Milan forward Carlos Bacca, along with German international Julian Draxler, whose club Wolfsburg remain confident he will stay.
Arsenal forward Joel Campbell has been linked with a move to Valencia, the Costa Rica international finding regular first-team chances limited again last season.
Midfielder Serge Gnabry has been included in Germany’s squad for the Olympic Games in Rio, the 21-year-old now back with the Gunners following a disappointing loan spell at West Brom.
Arsenal are set to kick off their pre-season preparations with a friendly away at Lens on July 22, before heading out to the United States for a short two-match tour of San Jose and Los Angeles.
Wenger’s squad have further warm-up games against Viking FK in Norway and then meet Manchester City in Sweden before their domestic campaign opens against Liverpool at the Emirates Stadium on Sunday, August 14.