Everton are on the lookout for a new permanent manager following the departure of Ronald Koeman.
Sky Sports have also claimed that former West Ham United and Newcastle United boss Sam Allardyce is no longer interested in the Everton managerial job.
Atletico Madrid head coach Simeone is also on Everton’s radar, according to Sky Sports.
Former Everton defender Ball has suggested that among the many managerial names linked with the Goodison Park outfit, only Simeone excites him.
Ball wrote in The Liverpool Echo: "Knowing how the chairman thinks, I know he’ll want someone who will engage with the crowd and though I’m not so sure Diego Simeone is realistic target, why not ask the question? Why not aim as high as possible?
“None of the names, Simeone apart, are really exciting me, I have to be honest, and you even have to worry that Everton could find it tough to convince some managers to leave their current roles. It’s a major headache.”