It was an open start to the action at the Liberty Stadium, with both Palace and the hosts, Swansea City, looking keen to play the ball about and get at the other side.
Unfortunately for Palace, it was the home side who drew first blood. Swansea were awarded a soft free kick on the edge of the Eagles' area which midfielder Gylfi Sigurdsson curled beyond Wayne Hennessey into the bottom corner on 13 minutes.
The Eagles tried to push out and get at the Swans, but two minutes later were nearly went two behind during a goalmouth scramble before the ball was smashed clear for a throw in to the home side.
Palace struggled to really find their groove and attacks kept breaking down once they got close to the Swansea box, whilst the home side threatened when they managed to get forward. Andre Ayew nearly doubled their advantage on 32 minutes, prodding Sigurdsson's corner narrowly wide at the back post.
Former Palace winger Wayne Routledge was next to go close for the Swans, curling Angel Rangel's low cross narrowly wide of Hennessey's far post with just over ten minutes left of the first half.
The Eagles enjoyed their best spell of the first half in the final ten, but couldn't find the equaliser. Though they didn't have to wait long for it in the second half. Mutch forced an early corner from the Eagles and Scott Dann was on hand to prod home from close range following Damien Delaney's knock down.
The leveller got the home side worried and Palace continued to push for a second in the early knockings of the second half. Adebayor saw an effort blocked shortly after the equaliser and Yohan Cabaye's venomous 20-yarder flew just over.
After a settled spell, Swansea began to threaten again, with the tireless Ayew causing Palace problems with his creativity, but the Eagles stood firm.
Central midfielder Hiram Boateng entered the action on 70 minutes, making his Premier League debut for the Eagles and looked keen to get on the ball from the off.
Boateng almost had the dream start to his debut, picking up the ball 25 yards from goal he cut on to his left foot and let fly, narrowly skimming Fabianski's far post. The strike was deemed to have taken a nick off a Swansea defender and the Eagles had a corner out of it, though that came to nothing.
A frantic end-to-end finish yielded no more goals and it finished 1-1 at the Liberty.
Palace XI: Hennessey; Ward, Dann, Delaney, Souare; Cabaye (Boateng, 70), Jedinak; Zaha, Mutch, Lee (Chamakh, 45); Adebayor (Campbell, 85).
Subs: McCarthy, Kelly, Hangeland, Kaikai.
Swansea XI: Fabianski; Rangel (Naughton, 86), Williams (c), Fernandez, Taylor; Britton, Cork, Sigursson, Routledge (Barrow, 60), Ayew; Paloschi (Gomis, 87).
Subs: Nordfelt, Amat, Fer, Montero.