The 27-year-old had been a loan target for Arsenal in January but Arsene Wenger's attempt to lure the versatile midfielder was blocked.
West Ham are also set to enter the race for Richardson but it is Toffees chief David Moyes who has made the first contact about the midfielder who has 12 months to run on his contract.
Moyes is a long-time admirer of the England international and believes his ability to play in a number of positions will make him a valuable addition to the first-team squad.
Richardson is keen to embark on a new challenge and would welcome the chance to play for a club that regularly challenges for the European football places.
The former Manchester United starlet, who has eight caps for England, has not given up hope of playing for his country again having memorably scored a brace on his debut against the United States in 2005.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.