Stekelenburg became Everton's first signing of the summer transfer window on Friday.
The Dutchman was named as the new Everton manager this week.
The Southampton boss was confirmed as the new Everton manager on Tuesday.
The Netherlands international heads back to Amsterdam seven years after leaving the Dutch giants
Fulham, Crystal Palace, Liverpool, Stoke City, Sunderland, Celtic, Manchester United and more all feature.
John Heitinga has agreed to move from Everton to Roma, but the Giallorossi are waiting to hear if they can sign Gabriel Paletta instead.
Argentine defender Nicolas Burdisso has left Roma for Genoa, paving the way for Everton defender John Heitinga to replace him.
After failing to sign Philippe Mexes, Fiorentina will go all out for Manchester United's Nemanja Vidic, Tuttosport claims.
Roma are getting closer to signing Everton defender John Heitinga as the player's representatives are in Italy to meet with Giallorossi officials.
Everton are tracking 17-year-old Genoa defensive prospect Marco Soprano, according to respected transfer expert Gianluca Di Marzio.
Roma are being linked with a January move for Everton defender John Heitinga if Nicolas Burdisso decides to quit the club.