Although Spurs always looked more comfortable on the ball it was Sean Dyche's side, who have just a point from their opening five games, who had come the closest.
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field
Later on Monday, Lukaku's brace helped Inter to a win over Napoli, taking them atop the standings on goal difference from Juventus.
Juventus and Inter, who have 42 points each from 17 games, both play on Monday while Lazio, with 39 from 17, have an outstanding fixture at home to Verona to come in early February.
Photographic summary of the football matches played across Spain, Italy and France
Adem Ljajic scored deep into injury-time to rescue a point for second-placed AS Roma who had to come from two goals behind and with a man down to earn a 2-2 draw at home to Sassuolo.
Juventus coach Massimiliano Allegri complained about his team's finishing after the Serie A leaders were held to a goalless draw at Fiorentina.
Ibrahimovic was forced off with a muscle problem with 11 minutes remaining, and the Swede was pictured sitting on the bench with an ice pack strapped to the back of his left leg.
Images from the football matches played across Europe on Sunday.
Francesco Totti was left out of AS Roma's squad for Sunday's Serie A match against Palermo after the talismanic playmaker complained about a lack of playing time in a television interview.
News of all that's transpired on and off the football field
He made it 3-0 with a superb first-time finish into the bottom corner in the 20th minute, scoring his first ever treble in a competitive game, more than 19 years after making his professional debut.
Spanish playmaker Mata, 31, joined United in 2014 for a then club record transfer fee of 37.1 million pounds ($46.86 million) from league rivals Chelsea.
Cristiano Ronaldo was involved in all three of his team's goals as Juventus came from behind to beat Napoli 3-1 in a Serie A top-of-the-table clash on Saturday to maintain their perfect start to the season.
The Portuguese can expect a hostile reception in Valencia, who had to suffer 15 of his goals for Real Madrid and are returning to the Champions League for the first time in three years.
Images from football matches played across Europe on Sunday.
Cristiano Ronaldo opened the scoring as Juventus beat visiting Bologna 2-1 on Saturday to move four points clear at the top of the Serie A table. Ronaldo struck from close range after 19 minutes, but Danilo levelled for the visitors soon afterwards.
AS Roma's lingering hopes of catching Serie A leaders Juventus were virtually extinguished after two stunning Pepe Reina saves kept them at bay and Jose Callejon's late goal handed third-placed Napoli a 1-0 home win on Sunday.
Romelu Lukakuare still five points off the Champions League places after Antonio Candreva's equaliser rescued a solitary point in a 2-2 draw at Torino in a thrilling Serie A clash on Saturday.
Three own goals were scored as Napoli's spectacularly inconsistent season continued with a 4-2 defeat at Empoli on Thursday.
AS Roma moved clear at the top of Serie A after beating Sampdoria 2-0 on Wednesday as struggling AC Milan came back from 3-1 down to draw 3-3 in stoppage time at Bologna.
News of all that's transpired on and off the football field
Juventus goalkeeper Gianluigi Buffon saved a penalty and Andrea Pirlo curled in a trademark free kick late in the game to give the Serie A leaders a dramatic 1-0 win at Genoa on Sunday.
A summary of results from matches played in the Italian Serie A and Ligue 1
Juventus moved nine points clear at the top of Serie A after defeating Palermo 4-0 at home on Sunday and Francesco Totti bagged a dramatic late equaliser as AS Roma drew 3-3 at Atalanta.
A summary of the results of the major European football league matches on the weekend.
Napoli kept their hopes of a first Serie A title since 1990 alive with an epic 4-2 win over 10-man Inter Milan after a Carlos Tevez hat-trick had put leaders Juventus six points clear with a 4-0 rout of Sassuolo on Sunday.
France striker Kylian Mbappe went off nursing a shoulder injury as they beat Uruguay 1-0 with an Olivier Giroud penalty in a rematch of their World Cup quarter-final on Tuesday.
Milan replaced Gennaro Gattuso with former Sampdoria coach Giampaolo during the close season in a bid to improve on last season's fifth place and to take them back to the Champions League.
The Portuguese forward then fired in the penalty in the sixth minute of stoppage time.
News of all that's transpired on and off the football field
AC Milan's winning streak ended as they were held 0-0 at home by Atalanta in Serie A on Saturday while Bologna beat struggling Hellas Verona 2-0 away to move out of the relegation zone.
Ten-man Inter Milan replaced AS Roma atop Serie A, at least for 24 hours, after beating Bologna 1-0 away on Tuesday to end a run of four games without a win but coach Roberto Mancini, who was sent off at the end, wants more from his side.
Atalanta forward German Denis took advantage of shocking defending by Napoli to score twice in a 3-0 win over Rafael Benitez's exasperatingly inconsistent team on Sunday.
Bayern Munich are confident they have overcome a mini-slump just in time for their Champions League round of 16 second leg against Juventus on Wednesday as they chase a treble of titles this season.
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field.
News of all that's transpired on and off the football field
Real Madrid produced a gutsy performance to earn a 1-0 win at Sevilla, on Sunday, which took them level on points at the top of La Liga