“We ate them up from minute one – it’s going to be tough to sleep between now and the final,” said Di Maria.
“We worked hard all game and we showed we deserve to be here. It doesn’t matter who we face: either Bayern or Lyon, we’ll give our all.”
With French World Cup-winning forward Kylian Mbappe back in the starting line-up after fully recovering from his ankle injury, PSG’s German coach Thomas Tuchel was able to field his preferred attacking trident with Brazilian Neymar and Di Maria.
Right from the outset, PSG looked a threat to the Leipzig defence with Neymar clipping the post after he was slipped in by Mbappe in the sixth minute.
Seven minutes later though, PSG had the lead. Neymar and Di Maria lined up to take a free kick on the left and it was the Argentine who floated in a lovely cross which was nodded home by Marquinhos.
Former Real Madrid and Manchester United winger Di Maria was in fine form, constantly probing, while Neymar created from deep and Mbappe pushed on to the last defender looking to use his pace.
The Germans were struggling but did threaten in the 25th minute when Konrad Laimer burst down the right and found Yussuf Poulsen but the forward’s shot was just off target.
Neymar then went close with an audacious free kick from deep and wide on the right, the former Barcelona man going for Peter Gulacsi’s near post and striking the post as the Hungarian keeper scrambled.
It was a poor clearance from the keeper which led to PSG’s second. Leandro Paredes collected the ball and then found Neymar who cleverly flicked it with the back of his heel into the path of Di Maria who made no mistake.
Leipzig’s 33-year-old coach Julian Nagelsmann needed to find some way to shift the momentum of the game and made two changes at the break but, after a bright start, PSG put the outcome beyond doubt.
Leipzig defender Nordi Mukiele slipped while attempting to clear, allowing Di Maria to cross the ball back in to the box and Juan Bernat’s glancing header floated into the far corner.
Mbappe forced a good save out of Gulacsi as PSG pushed for a fourth while PSG keeper Sergio Rico had his hands warmed by a fierce drive from fellow Spaniard Angelino.
“We have to accept the result because we weren’t able to approach the game as we wanted,” Nagelsmann said.
“They were better than us. Even if we could have made a lot of things better, maybe it would still not have been enough.
“They were flexible. We started well in the first half. But then conceded the first goal and then the second from a mistake of ours.”
PSG’s only other appearances in the final of a European competition came with their UEFA Cup Winners’ Cup victory in 1996 and their runners-up spot in the following season.