Palace still want Dyche
defender has successfully guided Burnley to two promotions to the Premier League in three seasons, and beat all the odds to keep them in the top flight last term.
And the Lancashire outfit are understood to be preparing to offer him a record-busting new deal to keep him out of Palace’s clutches.
But if Parish can persuade him to return south, he could be installed by next weekend.
All of which would leave Southampton free to choose from De Boer or Pellegrino, after former Borussia Dortmund boss Thomas Tuchel turned them down because he wants to coach a team in the Champions League.
De Boer was sacked by Inter Milan last November after a disastrous short spell with the Italian giants.