Not likely for a few more years.
Everton were the Football League Champions in 1891.
Everton were the Football League Champions in 1915.
Everton were the Football League Champions in 1928.
Everton were the Football League Champions in 1939.
Everton were the Football League Champions in 1945.
Everton were the Football League Champions in 1970.
Everton was the Football League Champions in 1984.
Anything can happen in football ofcourse but Everton have no chance of winning Champions League in the near future because they haven't qualified this year. And even if they do qualify there is a LOT of competition in the CL.
Everton have never even participated in the Champions League proper, never mind winning it.
No. Since the Champions League has become a League format, Everton has never even got past the qualifying stage. And if you count the European Cup before it became the Champions League, Everton has still not won it.
None because everton should not even be in the premier League. Manchester united to win the champions League cos they are the best team ever!!!!!!!!