The Sun report that Solanke, who has made one first-team appearance for the Blues, is demanding an extraordinary salary to stay at Stamford Bridge.
The highly-rated 18-year-old also wants assurances that he will be handed opportunities to play in the Premier League, frustrated with his lack of first-team action this season.
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Arsenal are understood to have joined the race to sign the England Under-21 international but have no intention of bowing to his wage demands.
Instead, they will offer Solanke a bigger role at Arsenal and the chance to establish himself in the Gunners’ first team.
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Arsene Wenger promotes youth players
Arsenal boss Arsene Wenger has an excellent track record of promoting talented youth players.
In recent years the veteran French coach has found roles in the first team for the likes of Jack Wilshere, Hector Bellerin and, most recently, Alex Iwobi.
Solanke, fearing his first-team chances will be limited at Stamford Bridge over the forthcoming seasons, might subsequently be tempted to leave the Bridge for the Emirates.
Chelsea are determined to keep the forward, who was named England Youth Player of the Year in 2014, but will be powerless to retain his services unless they offer the youngster what he wants both in terms of money and assurances over his playing time.
Mourinho was a big fan of Solanke
Jose Mourinho was a big fan of Solanke and told reporters back in 2014 that he would be the man to blame if the teenager failed to establish himself as an England international over the next few years.
“My conscience is simple,” Mourinho was quoted as saying by the Mirror. “If, in a few years, [Lewis] Baker, [Asaiah] Brown and Solanke are not national team players, I should blame myself.
“They are part of a process the club started without me, during that period before I came back.”
Arsenal move could happen
Solanke isn’t remotely close to an England call-up, but might be if he was playing week-in, week-out.
At Chelsea, that’s unlikely to happen - and so the possibility of the forward moving to Arsenal is a very real one.
Should Dominic Solanke leave Chelsea for Arsenal? Have your say by leaving a comment below.