PSG won 6-1 against Dijon while Lyon squeaked past Marseille 1-0 to join Rennes in the Coupe de France semis.
There was some cause for trepidation as PSG travelled to Dijon - the last side to beat them in the league, back in Round 12 - and although Mounir Chouiar levelled matters early after Dijon defender Wesley Lautoa had scored an own-goal, the capital club ran away with the match.
"Dijon started very aggressively, took a lot of risks and put in a lot of effort. We were also very focused, and battled for second balls. We were very careful, but were able to step up our tempo," said Thomas Tuchel, for whom Spaniard Pablo Sarabia bagged a double while fit-again captain Thiago Silva also contributed to the scoreline. "We were patient and played quickly, simply and created space in the second half. We controlled the game and scored two more goals quickly."
In a post-match interview, Tuchel caused a stir by airing concern that Neymar, out with a rib injury, might not be fit to take the field against Dortmund in their crunch UEFA Champions League last 16 tie in Germany on Tuesday.
"I can't say for sure that he'll be able to play against Dortmund," said the PSG boss, also unsure whether the Brazilian superstar will be included for tune-up against Amiens this weekend. "I don't know, we'll discuss it and decide on Friday, as late as possible. We can't risk his health."
OL do the job
Meanwhile Olympique Lyonnais also booked their place in the competition's final four with a narrow 1-0 win over Olympique de Marseille, captain Houssem Aouar's superb late strike edging it for Les Gones.
"We are very satisfied. It was a very complicated, tight game. We knew that the first team to score was going to take a big step towards victory. We're satisfied to win this match, even more so against Marseille. An Olympico, we know it always has a special flavour," said Aouar, a product of Lyon's renowned youth academy. "We're happy to win this game, especially as it takes us into the semi-finals. This season we want to go as far as we can in every competition because we've fallen behind quite a bit in the league."
It was a first defeat of the calendar year for André Villas-Boas' Marseille side, who saw captain and playmaking talisman Dimitri Payet subbed off with a hamstring complaint on 73 minutes.
"I think it's fine," said AVB, who seemed fairly confident that his star man would be fit to take on former club LOSC in Lille on Sunday night. "I think it's no big deal."