Barca have now gone three games without a LaLiga win having picked up five points out of a possible 21, suffering defeats by Leganes and Las Palmas in their previous two home games. They are three points behind Atletico having played a game more.
Pedri sent the Catalans ahead but second-half goals from Rodrigo De Paul and Alexander Sorloth helped Diego Simeone's side move three points clear at the top of the table, having played one match fewer than Barca.
Diego Simeone's red-hot Atletico are one of the most in-form teams in Europe on an 11-game winning streak in all competitions and looking like a well-oiled machine with Antoine Griezmann, Julian Alvarez and Rodrigo de Paul firing on all cylinders.
La Liga leaders Barcelona stumbled 1-0 at home against Leganes on Sunday as they suffered another blow in the Spanish title race.
Diego Simeone's side have been in fine form and continued their winning run across all competitions with a deserved home triumph, pulling provisionally level with league leaders Barcelona.
Real missed the chance to move above leaders Barcelona in LaLiga as they stay second on 37 points from 17 matches, one behind the Catalans who host Leganes on Sunday when Atletico, in third place on 35 from 16 games, welcome Getafe.
The 23-year-old was forced off with a muscle injury in their 4-0 thrashing of Osasuna at the Bernabeu earlier in November
"We changed the position of the forwards, with Mbappe outside and he did well, like Vinicius inside," said Ancelotti.
Raphinha and Robert Lewandowski's goals put the Catalans in a healthy position but Marc Casado's red card in the 82nd minute helped Celta start the fightback to snatch a point.
Marco Asensio and Eder Militao scored to give Real Madrid a 2-0 win against Celta at Santiago Bernabeu on Saturday and cut Barcelona's lead at the top of LaLiga to eight points.
Barcelona president Joan Laporta insisted Monday his club never tried to cheat amid investigations into payments made to a former refereeing chief.
Leaders Barcelona played out a second straight 0-0 draw in LaLiga after mid-table Getafe battled for a home point in a hard-fought game on Sunday.
Real Madrid were made to wait, but eventually conjured a stylish 2-0 victory at Cadiz on Saturday in La Liga, ahead of their Champions League trip to face Chelsea.
Barcelona supporters chanted Lionel Messi's name again after 10 minutes, representing the World Cup winner's former Barca shirt number, amid hopes he could return to his former club after his Paris Saint-Germain contract expires
Barcelona extended their lead at the top of LaLiga to 13 points despite being held to a goalless draw by mid-table Girona in their Catalan derby at the Camp Nou on Monday.
"We have no doubts, Wednesday is a different story. The temperature has dropped a little today, but on Wednesday it will be at full strength."
Real Madrid suffered a 3-2 defeat by Villarreal in La Liga in a thrilling clash ahead of their Champions League showdown against Chelsea next week.
Carlo Ancelotti believes Karim Benzema, Luka Modric and Toni Kroos will stay at Real Madrid next season, the Los Blancos coach told a news conference Friday.
Karim Benzema scored three goals in seven first-half minutes as Real Madrid thrashed Real Valladolid 6-0 on Sunday to cut Barcelona's lead in LaLiga to 12 points.