Chelsea's Asmir Begovic in action with Liverpool's Daniel Sturridge
The Toffees saw long-serving veteran goalkeeper Tim Howard leave the club in order to head back to the United States with MLS side Colorado Rapids, which had left Joel Robles as Everton's only recognised senior goalkeeper.
New manager Ronald Koeman did make one move to address the problem on Friday, as Dutch shot stopper Maarten Stekelenburg joined the club from Fulham, having worked with Koeman at both Ajax and Southampton.
However, the 33-year-old doesn't appear to be a first-choice solution for Everton, and another goalkeeper could still be signed by Koeman, which may ultimately mean Robles is forced out this summer.
The Daily Mail report that Everton are among the clubs interested in landing Chelsea goalkeeper Asmir Begovic, who could be heading for the Stamford Bridge exit just a year after signing from Stoke City.
Begovic, 29, had become one of the Premier League's top goalkeepers during his time at Stoke, but spent much of last season as backup to Thibaut Courtois - and now he's looking to leave to play first-team football next season and beyond.
Everton are believed to be keen on the Bosnian international, and Chelsea appear to be planning for his departure by making a move for AC Milan veteran Diego Lopez.
A three-year deal is believed to be on offer for the Spaniard, suggesting that they're expecting Begovic to leave in the near future - and Everton could do a lot worse than swoop to land Begovic this summer.
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