By North-west correspondent Alex Stevens

Everton have stepped up their pursuit of a new manager by offering to make Ronald Koeman one of the best-paid managers in the Premier League, according to a report.

Southampton chief Les Reed revealed last week the club are in advanced talks with Koeman about a new deal.

The Mirror claim Southampton have offered Koeman a two-year contract worth £2.5million-a-year, but Everton are prepared to more than double that and hand the Dutchman a £6million-per-season contract.

That would elevate the 53-year-old into the top tier of Premier League managers in terms of salaries, behind only Arsenal’s Arsene Wenger and incoming Manchester City and Manchester United bosses Pep Guardiola and Jose Mourinho.

Everton’s new major backer Farhad Moshiri is prepared to invest heavily on a new big-name manager as well as player transfers this summer.

Koeman is reportedly one of the main contenders for the vacant post along with former Ajax manager Frank de Boer, Manchester City’s Manuel Pellegrini, Sevilla’s Europa League-winning manager Unai Emery, ex-Goodison boss David Moyes and former defender David Unsworth, who took caretaker charge for the final game of the season against Norwich following Roberto Martinez’s dismissal.

Koeman has held discussions with Southampton about a new deal and they remain confident he will snub Everton and commit to a new St Mary’s agreement.

One potential scenario is that Dutchman may also decide stay and bide his time for a bigger job.

In other Everton news, the Merseysiders have been hit by a double managerial blow in their search for a Martinez replacement.