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.
Brazilian defender Filipe Luis scored for the second game running as Atletico Madrid beat Real Sociedad 1-0 on Tuesday to rack up a fifth straight win in La Liga and provisionally consolidate third place in the standings.
Atletico Madrid striker Fernando Torres returned to training on Monday after recovering from a sickening head clash, suggesting he could play in Wednesday's Champions League tie against Bayer Leverkusen.
Propelled by an on-fire Antoine Griezmann, Atletico Madrid stand on the brink of a fourth consecutive Champions League quarter-final, determined to finally end their tag as Europe's nearly men.
Barcelona suffered a hangover from their remarkable Champions League comeback against Paris Saint-Germain as Alex Bergantinos's winner 16 minutes from time handed Deportivo la Coruna a famous 2-1 win on Sunday.
Sevilla goalkeeper Sergio Rico blundered and then made two brilliant late stops as they were held to a 1-1 draw at Alaves on Monday that dented their La Liga title bid.
Gareth Bale and Cristiano Ronaldo hauled Real Madrid back from 2-0 down to win 3-2 at Villarreal on Sunday and regain top spot in La Liga from Barcelona.
Sevilla captain Vicente Iborra came off the bench to lead his side to a second-half comeback at fierce local rivals Real Betis on Saturday, assisting and scoring in a 2-1 win to provisionally take Jorge Sampaoli's side joint-top of La Liga.
Sevilla left-back Sergio Escudero was rewarded for his fine form this season with a new four-year contract, the Spanish club confirmed on Thursday.
Barcelona boss Luis Enrique labelled harsh treatment dished out to his players by Barca fans nonsensical as the Spanish champions squeezed past Leganes 2-1 on Sunday.
Scientists have found signs of brain damage that could cause dementia in a handful of former soccer players, fuelling worries about the danger of frequent knocks from heading the ball or colliding with others on the field.