Wilshere's contract with the Gunners expires at the end of June and he is yet to put pen-to-paper on fresh terms with his current employers.
The 26-year-old has been at Arsenal since the age of nine, earning his first professional contract with the club seven years later.
West Ham United have reopened talks with PSG playmaker Javier Pastore.
Wilshere has been offered a new £100,000-a-week deal to remain with Arsenal - a 20% pay cut to his salary due to his iffy record with injuries. The paper says that the Spaniard "has made it clear he wants him to stay".
Russia’s Aleksandr Golovin scored in the side’s World Cup opener
But perhaps Arsenal are secretly resigned to losing Wilshere and that's why they are trailing Aleksandr Golovin.
With the arrival of Marco Silva following Allardyce's sacking, however, it's up for debate if the Portuguese boss wishes to bring Wilshere to Merseyside.
Jack Wilshere is set to leave Arsenal on a free transfer this summer after Unai Emery decided that he is not part of his plans, according to reports in the British media.
The Toffees are expected to bring a number of new faces to the club this summer after the appointment of Marco Silva in the Goodison Park hotseat.
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He went on to say that pardons weren't out of the picture, but would have to wait until the investigation was over. Trump reacted by playing down Manafort's role in his campaign.