Following injury to Brent Webb, Escaré made his Super League debut against the Bradford Bulls in Round 8 of Super League XVIII. He enjoyed an eye-catching debut season, scoring 19 tries in 20 games and establishing himself as a first-choice player for the club. He ended the year with selection in the France squad for the 2013 Rugby League World Cup.
2014
Escaré continued his form in 2014, scoring 28 tries in 31 appearances to finish second to Joel Monaghan in the Super League try-scoring charts, as well as kicking one goal and one drop-goal. He was considered unlucky to miss out on the Super League Dream Team at the end of the season.
Escaré missed Rounds 1–7. Morgan featured in Round 8. He scored against Castleford Tigers. He made a total of 10 appearances. In October 2016 it was announced that he would be joining Wigan Warriors for the 2017 season.
2017
After finding himself on the fringes of the Catalan squad Escaré secured a release from the last year of his contract to join reigning Super League champions, Wigan Warriors, on a one year deal as cover for the injured Sam Tomkins. After impressing in pre-season he made his debut against Salford Red Devils and a week later helped Wigan to claim the World Club Challenge title against reigning NRL Premiers Cronulla-Sutherland Sharks. He scored his first try for the club in Round 5 against the Huddersfield Giants before scoring two more in Round 8 against the Castleford Tigers. A week later in the traditional Good Friday Derby against St Helens he scored 9 points from the boot and went home with the Man of the Match award before announcing after the game that he had signed a new three year contract after impressing the staff at Wigan. He scored his fourth try of the season against Wakefield on Easter Monday. In his thirteenth game for Wigan, away at Castleford, he suffered a season ending knee injury.
2018
With the departure of Michael McIlorum in the offseason, Thomas Leulaui moved into hooker, Sam Powell moved to halfback and with Sam Tomkins as resident fullback, Escaré started the season on the bench. This meant that, when he came on in place of Leulaui, Powell would move to hooker with either Tomkins or Escaré moving to halfback. The other would then run at fullback however both players would change positions as the game progressed. This fluid style of play contributed to a more expansive game from the Wigan side and Escaré profited from that scoring a fabulous try in the first game of the season away at Salford. He played in the 2018 Super League Grand Final victory over the Warrington Wolves at Old Trafford.
Career Stats
International career
2013
Escaré was selected in France's 2013 Rugby League World Cup squad. He featured in the 22–18 warm up defeat by the USA. Morgan featured in the group games against Papua New Guinea, New Zealand and Samoa. Escaré also featured in the Quarter Final against England. He scored against Samoa.
2014
Escaré was initially selected in France's 2014 European Cup squad on 3 October but he had to withdraw four days later due to medical reasons, making him unable to deliver his career best 2014 club form to the international level.
2015
Escaré was selected in France's 2015 European Cup squad. He featured in the opening match against Ireland and then against Scotland. He also played for France in their mid-tournament test-match against England. He was a part what was considered a 'weakened' French side due to injury and it showed with an appalling showing against their opponents. He scored in the European Cup game against Scotland.