Soucek says Everton boss David Moyes was keen on a reunion, with the pair having worked together at the Irons.
Advertisement
Advertisement
It's suggested Everton offered €20m for the 30 year-old Czech Republic international.
He told Idnes: “It’s no secret that there was interest in me. It was also in the media.
“I have a stable position, I now feel strength, support, recognition from the team.
“It was felt at the club, but in the end, both I and West Ham said no.”