Spurs fans are fretting they will miss out on Europe's premier competition yet again as they stayed fifth and missed the chance to jump into third with four games left, behind second-placed Manchester City who beat West Ham United 2-1.
Liverpool, in seventh position, recorded the biggest victory of the day as Daniel Sturridge and Jordan Henderson scored twice in a 6-0 rout at struggling Newcastle United.
Perennial strugglers Wigan, looking for a ninth straight season in the top flight, remained third from bottom having thought they would climb out of the drop zone after Callum McManaman scored from 25 metres with a searing 49th-minute effort.
"It should have been three points. I thought the performance was magnificent from start to finish," Wigan manager Roberto Martinez told Sky Sports.
"We gave them a goal but then we deservedly got back in front. To keep a Spurs team so quiet, they only had threats from dead ball situations, is great. We dropped two points but we couldn't have done anything more."
Boyce conceded in the last minute when a cross hit him and went in after Gareth Bale had missed his kick.
The defender had first equalised for Wigan with a towering header after 11 minutes, shortly after Spurs had opened the scoring in comical fashion.
Wigan's Honduran defender Maynor Figueroa casually passed back to goalkeeper Joel Robles who fired the ball against the onrushing Bale and watched it fly into the goal.
Figueroa ended a miserable personal performance when he was carried off on a stretcher with a suspected groin injury which could rule him out of the FA Cup final against City at Wembley on May 11.
City gave the fans something to cheer in their first game since being deposed as Premier League champions with superb goals from Sergio Aguero and Yaya Toure in a deserved home win over West Ham.
Roberto Mancini's side, who lost their title to Manchester United on Monday, took a large step towards securing an automatic Champions League berth next season.
"We needed to respond like this after the 3-1 defeat by Tottenham," right-back Pablo Zabaleta said. "We need to try to finish second."
CITY TIE RECORD
City equalled an 83-year-old club record of scoring in a 48th consecutive home league game.
West Ham, who netted in stoppage time when Andy Carroll's firm shot rolled through keeper Joe Hart's legs, are not mathematically free from relegation but have no realistic worries in 10th position.
Fifth-from-bottom Newcastle are only five points above Wigan, who occupy the final relegation place, following their mauling by Liverpool who made light of the absence of top striker Luis Suarez who started his 10-game ban for biting.
Doubles from Sturridge and Henderson, a header by Daniel Agger and a Fabio Borini strike moments after he came on as a substitute led Liverpool to victory.
Newcastle also had defender Mathieu Debuchy sent off for a se
