Van Dijk completed a £75 million transfer to Liverpool at the beginning of the window.
According to Cross, Arsenal are holding out for a fee of close to €40m, but City are confident of securing his signature for closer to €30m.
Having been knocked out of the FA Cup by Nottingham Forest on Sunday after resting key players, Wenger is intending to select a virtual full-strength team in the first leg of their League Cup semi-final against Chelsea on Wednesday night.
Arsenal have told City that they want in the region of £35 million for Alexis, who is out of contract at the end of the season.
Arsene Wenger has denied making a bid to bring West Brom centre-back Jonny Evans to Arsenal.
The Man City boss ideally wants a centre-bavk who would be eligible to play in the Champions League, and Maguire fits the bill.
Sanchez has made clear his intention to join Pep Guardiola's side and discussions over a proposed January move are now underway.
Goal report that the two clubs are in talks over a January move for the Chilean forward, with the Gunners asking for £35m to get a deal done before the end of the transfer window - a massive amount for a player with just a few months left on his current contract in north London. The Chilean worldwide has been linked with PSG, Bayern Munich and even Real Madrid over the past few months, but now the Gunners' top flight rivals Manchester City are set to make a significant bid.