Pochettino's side will rue missed chances in the second-half as Harry Kane's August drought continues for another year. Burnley reacted well to going behind and earned the point in stoppage-time as Spurs looked nervous.
At the end of the first half, Sean Dyche would certainly have been the happier of the two managers. His game plan was to frustrate the hosts and thanks to Ben Mee and James Tarkowski they were able to do so.
Spurs were totally dominant in possession but a solid and disciplined Burnley side limited them to speculative shots and Pochettino's men were unable to create any real clear-cut chances.
Harry Kane looked bright and keen to end his August drought but the Clarets centre-backs thwarted him with a number of blocked shots and he headed over from close-range from an in-swinging Eriksen free-kick. Vokes was fairly isolated for the hosts, whose best chance of taking the lead looked like it would come from a corner.
The sides went in level and the atmosphere around Wembley had become much more quiet than at the beginning of the match, as the home fans wanted to see their side put an end to the talk of any Wembley problems.
The hosts started the second period brightly, and it didn't take them long to make their dominance count. The breakthrough came after 49 minutes as Ben Mee failed to clear from a corner and Dele Alli scored after his first shot was blocked.
The goal prompted Dyche to make his first changes, bringing on record signing Chris Wood and Ashley Barnes for Sam Vokes and Johann Gudmundsson. The double change meant a change in approach for the visitors with two up-top, but the home side continued to dominate.
Kane will wonder what he has to do to get a goal in August, after he directed a shot just past the post following a nice cut-back from Ben Davies, and was thwarted by an on-rushing Tom Heaton after he raced away from James Tarkowski.
Tottenham had numerous chances to double their lead and put the game to bed but the second goal never came.
In the latter stages, the nerves were evident around the ground with Spurs' Wembley record of one win in 11 matches before this game taking its toll.
Burnley came into the game more as Chris Wood started to have more of an impact. He warned the home side with a weak header which went straight into the hands of Lloris but Spurs did not heed the warning.
In stoppage-time Robbie Brady played a brilliant ball over the top, Chris Wood ran round the back of a sleeping Kieran Trippier, and was able to slot it past Lloris and grab the equaliser on his Premier League debut.
A one-goal lead is always dangerous and Spurs found this out the hard way, conceding a late goal for the second home game in a row.
Spurs' start to the season at Wembley is definitely something which will concern Pochettino. After dropping just 4 points at home last season, they have already dropped 5 this time around. The performances have been satisfactory but the nerves and the mindset is something the Argentinian coach will look to address over the international break.
Conversely, Sean Dyche's side only managed 7 points away from home last year but have already picked up an impressive 4 points after trips to Chelsea and Tottenham.