The Gunners could not break down a dogged Trotters side, with the hosts looking the more likely to snatch a winner in the dying moments.
Arsene Wenger sees his side still five points behind Chelsea in fourth, and now 12 points behind north London rivals Tottenham in third.
The French coach lamented his side’s finishing after the game, as Robin van Persie, Theo Walcott and Alex Oxlade-Chamberlain all went close without hitting the back of the net.
“We played the game we wanted but we didn’t take our chances and Bolton played defensively very focused,” the trainer told Sky Sports.
“As long as we didn’t take our first chance, they had not to change their tactics.”
Wenger also stated that he had no further news on Jack Wilshere’s injury, amid fears that the midfielder may miss the remainder of The Gunners’ campaign.
“There’s no news. Nothing to add to what I’ve said recently.
“It’s very difficult to say how long he will be out at the moment, I don’t know,” Wenger concluded.
The Gunners face Blackburn at home on Saturday, and will look for revenge after suffering defeat in the corresponding fixture at Ewood Park earlier in the season.
By Gareth McKnight