According to uk.sports.yahoo.com, the Argentina global set up Luis Suarez for an equaliser after Girona had taken a third-minute lead, and netted twice himself, the second an inventive free-kick steered under the opposition's defensive wall at Camp Nou.
The run matches that of Real Sociedad back in 1979-80.
Messi then added a third shortly afterwards as he fired a free-kick underneath the wall and past a diving Bono to make it 3-1.
In the second half, Coutinho netted a sensational fifth before Suarez completed the rout, tapping in from Ousmane Dembele's cross. Messi passed to Philippe Coutinho on the left who dished to Luis Suarez to put it away for 4-1.
Their lead was short-lived as Messi set up Suarez to equalise.
The other shots weren't too shabby either, with three coming off of the boot of Luis Suarez and another two goals from Lionel Messi.
"It's been an important week", Valverde told Movistar Partidazo after the game.
"Barcelona play unique football".
The Argentine was on top form in the Catalan club's empathic win over Girona this weekend, scoring twice and assisting another strike.
"We were nervous from the start and they were very sharp".
"It's hard to get used to these things", the Spanish tactician said, according to the Daily Express. "Messi feels a great responsibility for the team and he took it on during the early part of the game".
The France forward is still only 20 and has time on his side, although with Coutinho cup-tied in the Champions League, his adaptation this season after two injuries and a tough time so far could be the key to Barca's hopes in the continental competition.
"Coutinho and Dembele? Both players can help us".
It was a good night for Barca, who have opened up a 10-point gap at the top of the table, with second-placed Atletico Madrid playing at Sevilla on Sunday.