"I met him and we had a very good chat about football in general and I was impressed about the hunger he still has," Everton manager Roberto Martinez told the club's official website. "For someone who has achieved nearly everything, he still has the desire he had at 15 when he went to Spain and showed what he could do. For many reasons he has got a point to prove.
"We are very excited and I think Everton is the perfect home for him. The fans will make him ready and feel sharp, but we have got to be a bit patient with the fitness levels and make sure he is back to his best."
Eto'o scored 12 goals for Chelsea last season after signing from Russian side Anzhi Makhachkala, including a hat-trick against Manchester United. "I am very happy to be here," said Eto'o, who is Cameroon's record goal-scorer. "I am looking forward greatly to putting on the blue shirt of Everton. I have been very impressed by the style of play Everton adopt. I could see straight away that at this club I will have the opportunity to play football.
Eto'o will provide back-up for Belgium striker Romelu Lukaku, who joined Everton from Chelsea in a club-record £28m deal last month. Eto'o has won three UEFA Champions League titles - two with Barcelona and one with Inter Milan - and has been crowned CAF African Player of the Year on four occasions.