Chelsea beat Crystal Palace 3-2 while Arsenal's match with Leicester ended in a 1-1 stalemate.
Chelsea shrugged off a shock 3-2 defeat at West Ham in midweek with a routine win over Watford at Stamford Bridge.
Chelsea's quick-fire blitz moved the fourth-placed west Londoners five points clear of Manchester United in fifth in the race to qualify for next season's Champions League.
Olivier Giroud has signed a new contract that will keep him at Chelsea till the end of the 2021-22 season.
France vs Turkey: Substitute Olivier Giroud put France ahead on 76 minutes but Kaan Ayhan nodded in an equaliser six minutes later.
Iceland vs France: France now host Turkey in a crunch game at the Stade de France on Monday, having suffered a 0-2 defeat in Ankara in June.
France cruised past Albania 4-1 on Saturday to move back to the top of their group in qualifying for Euro 2020.
The only sour note on a straightforward assignment for Chelsea came in the second half, when Ruben Loftus-Cheek limped out of the action with what appeared to be an ankle injury.
Chelsea will face Eintracht Frankfurt for a place in the Europa League final after the German side beat Benfica 2-0 on Thursday to go through on away goals.
Chelsea made it four wins from four matches in Group L by edging out a spirited BATE Borisov 1-0 in Belarus.
Olivier Giroud, who moved to Chelsea in January, believes the battle with Alvaro Morata is positive for the team.
On their first appearance on home soil since the World Cup, Kylian Mbappe and Olivier Giroud scored as France beat the Netherlands 2-1.
Olivier Giroud and Nabil Fekir were on target as France stepped up their World Cup preparations by beating the Republic of Ireland 2-0 in Paris on Monday evening.
Chelsea booked an FA Cup final showdown with Manchester United as Olivier Giroud tormented Southampton again with a sublime strike in Sunday's 2-0 win at Wembley.
Olivier Giroud joins compatriots N'Golo Kante and Tiemoue Bakayoko in the Chelsea squad.
A single point, though, denied Arsenal the chance to climb into the top four.
Arsene Wenger made nine changes to the Arsenal team after they travelled to eastern Europe on the back of a 2-0 win over West Bromwich Albion in the Premier League on Monday.
Thibaut Courtois blazed his penalty over the bar before substitute Alvaro Morata shot wide, allowing Olivier Giroud to seal victory for Arsenal.