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.
Barcelona coach Hansi Flick said Friday he would ask his players if they can win without injured teenage winger Lamine Yamal.
The champions' slim victory ensured leaders Barcelona must beat city rivals Espanyol on Sunday in Cornella to be able to clinch the title this weekend
Lionel Messi's uninspiring two-year stint at Paris Saint-Germain is set to come to an acrimonious end with a move to join long-time rival Cristiano Ronaldo in Saudi Arabia, just months after his crowning glory at the 2022 World Cup.
Antoine Griezmann shone as Atletico Madrid thrashed Cadiz 5-1 on Wednesday to climb above rivals Real Madrid into second in La Liga.
The Catalan club said he was their second youngest player of all time, behind Albert Almasque in 1902 who played in the Macaya cup at 13 years, 11 months and six days old
Real Madrid beat Almeria 4-2 to cut the gap to eight points earlier on but Barcelona triumphed to restore their 11-point advantage
Karim Benzema scored a first-half hat-trick as Real Madrid recovered from a disappointing midweek loss at Girona by beating lowly Almeria 4-2 at home in LaLiga on Saturday.
Atletico Madrid cut the gap on second-place rivals Real Madrid to two points with a 3-1 win over Real Mallorca in La Liga on Wednesday.
After two consecutive goalless draws, second-place Real Madrid cut into Barcelona's lead by beating Celta Vigo on Saturday, but Torres's low first-half finish restored their advantage to 11 points with eight games remaining
The Spanish forward is the youngest ever player to enter a Barcelona squad for an official game
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.