The visitors kept up the pressure in the second half and after a series of chances Pulisic equalised, turning home a low cross from close range in the 67th, seconds after coming on.
Duvan Zapata scored a goal of sheer brute force and determination to set Napoli on the way to a 2-0 win over Sassuolo which moved them another step closer to second-placed AS Roma in Serie A on Monday.
Cristiano Ronaldo saved Juventus' unbeaten Serie A record this season when he came off the bench to score the equaliser in a dramatic 2-2 draw at Atalanta on Wednesday.
The home side knew only victory would do for them to grab the final last-16 qualification spot in the group behind Manchester United, and came out for the second half in all-out-attack mode.
Roger Martinez scored an outstanding goal as Colombia beat Argentina 2-0 in an exciting finale to a Copa America Group B opener on Saturday that burst into life after a sluggish start.
Robert Lewandowski's brace earned depleted Barcelona a 2-1 comeback win at Valencia
Roberto Firmino scored twice and Marquinhos and Philippe Coutinho also got goals as Brazil hammered Bolivia 5-0 in their opening World Cup qualifier in Sao Paulo on Friday.
Real Madrid have avoided defeat in their last 41 LaLiga games, the second best streak by a team in the competition's history.
Liverpool laboured to a 2-0 win over Denmark's Midtjylland on Tuesday as a goal from Diogo Jota and a Mohamed Salah penalty secured a hard-fought Champions League Group D victory at Anfield.
Gonzalo Higuain scored his 30th league goal of the season but was later sent off and had to be restrained by his team mates as Napoli lost 3-1 at Udinese on Sunday, severely denting their Serie A title hopes.
Juventus moved top with 19 points to Inter's 18 and it was a deserved victory in an absorbing contest.
IMAGES from football matches played in the Serie A and the English Premier League on Saturday.
Argentina captain Lionel Messi pulled his side level in the 57th minute after a handball by Paraguay's Ivan Peris which no-one on the pitch appealed for but was spotted by a VAR review.
Juventus striker Carlos Tevez scored a magnificent first-half goal, and later missed a penalty, as the runaway Serie A leaders won 1-0 at home to mid-table Genoa on Sunday.
IMAGES from Serie A matches played in Italy on Wednesday.
Sarri was without Cristiano Ronaldo for the trip to the Gewiss Stadium as the Portuguese forward recovers from a knee problem ahead of Tuesday's Champions League meeting with Atletico Madrid in Turin.
Paris St Germain's Zlatan Ibrahimovic scored his first Ligue 1 goal this season before missing a penalty as they beat En Avant Guingamp 3-0 to extend their lead to four points on Tuesday.
News of all that's transpired on and off the football field
Round-up of football matches played around Europe on Saturday.
New of all that's transpired on and off the football field on Saturday.
Lionel Messi notched a 20th assist of the season to help a lacklustre Barcelona secure a 1-0 win away to Real Valladolid on Saturday, maintaining the pressure on La Liga leaders Real Madrid. Cristiano Ronaldo converted two penalties, both awarded for handballs and the second in the last minute, as Serie A leader Juventus twice hit back to draw 2-2 with Atalanta to move closer to a ninth successive Serie A title on Saturday.
News of all that's transpired on and off the football field
Paris St Germain suffered their first defeat of the season when they were beaten 2-0 at Stade Rennais on Sunday to drop their first Ligue 1 points of the season.
News of all that's transpired on and off the football field
Liverpool thrashed Atalanta 5-0, Real Madrid boosted their chances of reaching the Champions League knockout stages with a 3-2 home victory over Inter Milan and Bayern Munich came from behind to crush RB Salzburg 6-2.
Images from the UEFA Champions League matches played on Tuesday.
Olympiakos Piraeus battled back from a two-goal deficit to earn a 2-2 home draw with last year's runners-up Tottenham Hotspur in their Champions League Group B opener.
Mbappe struck in the 74th minute to put PSG on 80 points from 29 games and on the brink of retaining the title with second-placed Lille, who beat Nantes 3-2 away earlier on Sunday, still 20 points behind having played a game more.
Images from Tuesday's action in the UEFA Champions League.
IMAGES from soccer matches played across Europe on Saturday.
Dutch teenager Max Verstappen is a rare talent comparable to the late Ayrton Senna, according to Red Bull's Formula One consultant Helmut Marko.
Images from the UEFA Champions League matches played on Wednesday.
News of all that's transpired on and off the football field