Brazil star Neymar was a constant subject of speculation in the previous transfer window, with the forward doing little to hush the rumours of a potential return to Camp Nou.
Barca were said to have offered PSG cash and up to three players – reportedly Ivan Rakitic, Jean-Clair Todibo and Ousmane Dembele – but the deal did not go through, despite the Catalan club reportedly being confident of getting it over the line.
The strained relationship between the two clubs from when Neymar left Barca for PSG for €222million two years earlier was said to have impacted discussions, though Bernat acknowledged he felt the former Santos talent was more likely to leave than stay.
"Yes, it's true that I saw him more [likely] out of the club than in it for everything that was said in the press," Bernat told Marca.
"Until the transfer window closed, anything could've happened.
"It was the best outcome for us [PSG]. He makes a difference with [Kylian] Mbappe. In the first game, as soon as he returned, he scored a goal.
"Then against Lyon he was also decisive. They [Neymar and Mbappe] are a different level.
"They are very skilled players. They carry the ball and make you suffer. Luckily we have them in our team."
Similarly, Mbappe was also linked with a move away from the Parc des Princes, with Real Madrid said to be eager to sign him.
Bernat is not surprised Mbappe attracts such interest, having seen first-hand in training that the 20-year-old is "practically impossible" to stop.
He said: "In a race Mbappe is unstoppable. If he starts [running], you're lost. When he has space, it is very complicated to slow him down.
"With the power he has it is practically impossible. Either you anticipate or there's nothing you can do. He competes very well, and that's what's going to make him very big.
"It [Madrid's interest] is normal, but he is ours and I hope he will always stay with us. He is in a big club."