They weren't able to, with Sanchez's headed clearance mis-kicked back into the danger zone by Pablo Rosario for Luuk de Jong to flick in just three minutes from time.
Spurs seemed to be on their way to picking up their first victory of the season when the Brazil worldwide and talisman Harry Kane scored either side of half-time to put them 2-1 up against PSV Eindhoven and cruising.
The Tottenham defender conceded possession 30 yards from goal, allowing the PSV forward to drive into the area and shoot.
Although Alderweireld got back to make a challenge as Lozano ran through, he succeeded only in diverting the ball in, over Lloris. Against PSV it resulted in an ugly tackle on Lozano which gave the referee no choice but to brandish a red card - and left his Tottenham team-mates hanging on.
"The situation with Hugo was maybe unfair but that can happen in football", said Pochettino.
And despite a few moments of rustiness, the Dane was at the heart of everything good for Pochettino's side.
However, they did level when Kieran Trippier pulled the ball back for Lucas Moura to ram home.
When asked how he rated Spurs' chances of qualifying for the knockout stages, he said: "It's almost over".
Gaston Pereiro grazed the Spurs crossbar but, after the break, Eriksen found the head of Kane with a perfectly flighted cross for 2-1.
Wednesday's mistake at PSV came just days after his man-of-the-match performance against West Ham and Pochettino believes Lloris deserves more respect, insisting he is one of the best keepers in the world.
By that point, they should have been out of sight, after failing to convert a host of chances. "We had control of the game and we could have finished it and score the third, but we didn't - that's football".
"We always say to each other: "We need to learn from this, we need to learn from that".
Tottenham are winless in five Champions League games (D2 L3), their longest run without a win in the competition.
Hirving Lozano has been directly involved in 15 goals in 15 matches in all competitions for PSV this season (11 goals, four assists).
Spurs made amends nearly immediately, Christian Eriksen splitting the PSV defence to set up Kieran Trippier for a crisp cross that Lucas fired first-time past Zoet via a deflection.