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2014–2017: Arrival of Luis Enrique and birth of MSN

Barcelona hired coach Luis Enrique before the 2014–15 season, and would continue to aid Messi in the attack by signing Uruguayan forward Luis Suárez, who had won the European Golden Shoe the year before at Liverpool. Luis Enrique's system would feature quick transitions from defense to attack, led by the front three of Messi, Suárez and Neymar. The attacking trio, which colloquially became known as 'MSN', would break goalscoring records. A hat-trick scored against Sevilla earlier in the season would also make him the all-time top scorer in La Liga, as he surpassed the 59-year record of 251 league goals held by Telmo Zarra. After securing the La Liga title, the Copa Del Rey, and the Champions League that year, Messi helped Barcelona become the first club to win the continental treble twice. He would record 58 goals, but combined with Neymar and Suárez, the attacking trio scored a total of 122 goals in all competitions that season, a record in Spanish football.

Messi opened the 2015–16 season by helping Barcelona's win over Sevilla in the UEFA Super Cup. Messi capped off the year by winning the 2015 FIFA Club World Cup final over River Plate in Yokohama, collecting his fifth club trophy of the calendar year. On 11 January 2016, Messi won the FIFA Ballon d'Or for a record fifth time in his career. He would end the season by winning La Liga as well as the Copa del Rey again. In total, Messi scored 41 goals, and Barcelona's attacking trio of him, Neymar and Suárez managed a Spanish record of 131 combined goals throughout the season, breaking the record they had set the previous season.

The 2016–17 season would end with Messi winning the Supercopa de España and the Copa del Rey. He would finish the season with 54 goals, while his 37 goals in La Liga saw him claim both the Pichichi and European Golden Boot Awards for the fourth time in his career. Messi, Neymar and Suárez would combine for 110 goals by season's end. Neymar would depart for Paris Saint Germain the next year, leaving the attacking trio with a combined total of 363 goals over the course of three seasons. Luis Enrique would also leave Barcelona at the end of the season after managing the club to a total of nine trophies during his three-year tenure.