Everton are yet to replace Ronald Koeman with David Unsworth remaining as interim manager.
The Merseyside outfit are yet to replace the sacking of former boss Ronald Koeman, which has since seen David Unsworth take control of the club on a temporary basis. However, he has lost five of his seven games in charge.
The Telegraph claim Everton want to re-open talks with former England manager Sam Allardyce, despite the 63-year-old publicly ruling himself out of the job earlier this month.
But Everton legend Southall told fans on Twitter that he would like to see his former side go down a different route by launching an ambitious move to lure Italian Conte from Chelsea, when replying to a fan.
The move would come as a complete surprise with Chelsea's stature considered higher than Everton's, after winning the Premier League last season and remaining in the Champions League beyond Christmas.
The Telegraph claim 48-year-old Conte is set to earn a huge £19.2million over two years after putting pen to paper on a deal that will see him remain with the Blues until the summer of 2019, equalling out at about £185,000 per week.
In what seems way too far out of Everton's reach, Conte is likely to remain at Chelsea as Unsworth prepares his Everton side to play host to West Ham United and David Moyes at Goodison Park on Wednesday night.