Officers attended and found damage to a door indicating that a pellet gun had been fired.
A woman who was in the property at the time suffered a minor injury to her hand, which was treated at the scene.
Enquiries into the full circumstances around this incident are ongoing.
Detective Inspector Tanya Kitchen of GMP’s Bolton borough said:
“At this time, we believe this may have been a targeted attack, but we are following a number of enquiries to identify who was responsible.
“The use of firearms is always concerning for residents and we understand that, which is why we have increased patrols in the area and will continue working with partner services to ensure the safety of the family involved in this incident.
“If you know something that could help with this investigation, or have information about what happened last night, please get in touch with our local team on 0161 856 5757.”
Reports can also be made anonymously through the independent charity Crimestoppers on 0800 555 111.