Barkley, who is out of contract in mid-2018, is heavily linked with a move to Tottenham this off-season.
Swansea are holding out for 50 million pounds to sell Gylfi, who left White Hart Lane just before Mauricio Pochettino arrived.
Recently, our friends at Cartilage Free Captain reported that Tottenham Hotspur was still interested in Ross Barkley and that they expected to get a deal done in this window -with an article from the Independent as their source.
A 22-time England worldwide, Barkley came through the youth system at Everton.
Barkley made 36 league appearances for Koeman's side last term, contributing five goals and eight assists as they finished seventh in the table. So if Tottenham really are waiting in the wings but are reluctant to pay what the player wants, it would be refreshing - and smart - to see Barkley make the right move for the good of his career rather than his bank balance.
Subway Track Fire Sends 9 to Hospital and Snarls Morning Commute
As a result of today's fire, there is now no A train service between 125th Street and Inwood-207th in both directions. The fire was ongoing as of 9:00 a.m. with firefighters on the scene, and has been brought under control by 9:30 a.m.
The Everton midfielder, who could leave Goodison Park after failing to sign a contract extension, was again the notable absentee when Ronald Koeman's 25-man squad flew to Enschede on Monday. He really hasn't improved that much since breaking into the Everton first team in the 2013-14 season.
Will Ross Barkley be on the Spurs USA bound plane?
Not many managers would have been so lenient, particularly as Spurs were eliminated from the competition after Alli's sending off, but Pochettino managed the situation perfectly, recognising Alli as one of his best players who needed support.
There's still a long way to go before a deal is done, but it feels like it's going to happen eventually.
Tottenham have always been mentioned in connection with Barkley, although until now appear to have been put off by his hefty £50m valuation.