Arsenal defeated West Ham to record their first win of the season after losing the first two league matches.
Marko Arnautovic gave West Ham the lead in the 25th minute, Nacho Monreal equalised in the 30th minute.
Arsenal improved after the restart, Issa Diop diverted into his own net to give Arsenal the lead 70th minute before Danny Welbeck came off the bench to put icing on the cake in the 90th minute to give Arsenal the maximum points.
West Ham wait for a win under Pellegrini continues.
Liverpool defeated Brighton Hove& Albion 1-0 at Anfield courtesy of a brilliant strike from Mohammed Salah.
Everton and Bournemouth played out an entertaining 2-2 draw, Richarlison was sent off for violent conduct.
Leicester City recorded a last-gasp victory against Southampton at St Mary, Maguire scored a 90th minute winner to give the Foxes the maximum points.
Huddersfield and Cardiff City played out a goalless draw.
Manchester City and Wolverhampton Wanderers played out a 1-1 draw earlier in the day.