Paris St Germain coach Luis Enrique hailed his squad as the best in the world on Tuesday after they reached the Champions League semi-finals with a 5-4 aggregate win over Aston Villa.

The French side, who have never won Europe's elite club competition, will face either Arsenal or Real Madrid in their second semi-final in two years.

On Tuesday, they lost 3-2 to Aston Villa in the second leg and the English side would have drawn level 5-5 or even won it over the two matches had goalkeeper Gianluigi Donnarumma not pulled off a remarkable series of second-half saves.

"I think I have the best squad in the world, not only the goalkeeper. When you are in a club like PSG, you have a lot of quality players," Luis Enrique told Amazon Prime TV.

"I think in the whole two matches, we deserved to win... I am very happy because I can offer our supporters another qualification to the semi-final."

The PSG boss praised Villa's quality and intensity, which saw them come back on Tuesday from 2-0 down -- putting them 5-1 behind on aggregate -- to score three times.

"We started the game in a great way, scoring two amazing goals, trying to take advantage of the spaces," he said.

"We cannot forget, this is the Champions League and you have to accept that the opposite team has a lot of quality. Aston Villa played with a lot of intensity in the second half.

"They didn't have anything to lose because they lost the first match and were losing at halftime in the first half (of the second leg)."