Labour Councillor Veronica Bennett has written to local secondary schools to warn young people about the dangers of playing in a vacant old house near to Blundellsands Train Station.
Cllr Bennett has raised her concerns about youngsters trespassing at the house on Blundellsands Road East.
The house is regularly targeted by vandals and there have been incidents of arson in the past.
Cllr Bennett said: "I have been contacted by a number of concerned Crosby residents who have seen teenagers breaking into the long-term empty property on Blundellsands Road East, between Kenilworth Road and Abbotsford Road.
"Reports have previously been made to police about a group of young people breaking into the property and starting fires. This problem has been ongoing for a number of years but has apparently become more frequent in recent months.
"I wanted to take the opportunity to let headteachers know that the police will be doing regular patrols in the area and will be taking the names of anyone they find on the grounds of this property, as well as the name of their school."
Cllr Bennett said the young people involved were risking their own lives.
Cllr Bennett said: "Breaking into this house isn't just illegal. Because of the fires that have taken place there and the fact that it has been empty for several years, there are questions over whether it's structurally sound.
"I wouldn't want any local students to be picked up by the police, and even less for anyone to suffer serious injury as a result of breaking into this property."
Cllr Bennett said she hoped that the headteachers would make their pupils aware of the dangers during school assemblies.
Cllr Bennett said: "The headteachers I have spoken to about this have been very supportive and obviously very willing to raise this issue their pupils to warn them about the dangers.
"I'd like to thank them for their support and also ask parents to make their children aware."