A Lincoln electronics shop has been damaged after a fire was started outside the Lincoln High Street premises on April 23.
The incident happened outside CEX at St Peter at Arches, High Street, at around 4.30am.
Men set fire to a pile of rubbish outside the shop, but was put out by Lincolnshire Fire and Rescue.
No-one was hurt in the incident but the fire has caused damage to the front of the shop.
Police believe three men are involved in the incident, and one is described as wearing a red tracksuit top.
On the same night, an hour beforehand, rubbish was set on fire outside Sugarcubes on Corporation Street. Officers believe this is the same people.
Police are now looking for any witnesses to either of this fires to get in touch by contacting PC Tom Richardson at Lincolnshire Police on 101, quoting incident 36 of 23rd April 2014.
Alternatively call Crimestoppers anonymously on 0800 555 111.