Emery’s future is in doubt at the Parc des Princes despite helping his side top their Champions League group on Tuesday night.
PSG also top the Ligue 1 table by nine points but reports still claim that Emery could be on his way out in the summer.
Reports now suggest he will be replaced by Allegri unless he can guide the French giants to the Champions League crown.
Allegri helped Juventus reach the last 16 of the competition for the eighth year in a row and he is now ahead of Chelsea boss Antonio Conte on chairman Nasser Al-Khelaifi’s wishlist.
A goal apiece from James Tomkins and Luka Milivojevic handed Crystal Palace a crucial 2-0 win over Huddersfield at the John Smith's Stadium on Saturday evening.
Manchester United bounced back from their Champions League exit as they beat Brighton 2-0 at Old Trafford on Saturday night to reach the FA Cup semi-finals.
Tottenham reached the FA Cup semi-finals after they cruised to a 3-0 victory over Swansea in their quarter-final clash at the Liberty Stadium on Saturday.
Premier League basement club West Brom squandered the lead as they suffered a 2-1 defeat to Bournemouth at the Vitality Stadium on Saturday.
Chesterfield boss Jack Lester felt his side were unlucky not to claim all three points after their 1-1 draw at Cheltenham.