La Liga minnows Eibar celebrated their first draw at Real Madrid in the club's 76-year history by taking over the jacuzzi at the Santiago Bernabeu stadium.
Messi stretched Barca's lead by finishing off a brilliant move with Luis Suarez in the 50th minute and the Uruguayan joined his close friend and strike partner on 15 league goals by robbing an Eibar defender and finishing inside the near post in the 68th.
Barcelona needed Luis Suarez to be at his clinical best with a hat-trick in a 3-1 comeback win at home to modest Eibar on Sunday which put the champions level on 21 points with arch-rivals Real Madrid at the top of La Liga.
Treble-chasing Barcelona are exactly where they want to be as they prepare for two matches this week that could make or break coach Luis Enrique's first season in charge.
IMAGES from La Liga matches played on Sunday
Joao Miranda and new signing Mario Mandzukic led Atletico Madrid to a 2-1 home win in La Liga on Saturday as visitors Eibar were unable to cope with the aerial threat of the champions.
Real Madrid's unbeaten start to the La Liga season came to an abrupt and surprising end as Real Mallorca claimed a stunning 1-0 victory at a rocking Son Moix on Saturday to climb out of the relegation zone.
Ousmane Dembele's late strike rescued a 1-1 draw for champions Barcelona at Atletico Madrid but Sevilla moved top with a 1-0 win over Real Valladolid. European champions Real Madrid were humiliated in a 3-0 defeat at Eibar.
Real Madrid and Barcelona pulled two points clear in La Liga when Cristiano Ronaldo set a club scoring record in Real's 3-0 stroll against Levante and Neymar hit four as Barca beat Rayo Vallecano 5-2 on Saturday.
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