A private hire taxi driver told a little girl to get into his car before following her to school in Childwall this morning.
Police officers are carrying out enquiries following the suspicious incident near a primary school at 8.40am.
A pupil at St Paschal Baylon Primary School reported that a male taxi driver had spoken to her inappropriately.
The incident is believed to have happened at traffic lights on Bowring Park Avenue, close to the Turnpike Tavern.
The girl reported that the taxi driver had asked her to get into the vehicle, before following her up the road and staring at her.
She went to school and immediately reported the incident to a teacher.
Enquiries are ongoing to establish more details on the man and his vehicle and an alert has been issued to remind pupils to be vigilant when going to school.
Local Policing Inspector Andy Wignall said: "Although no attempt was made to grab the girl, it is clearly an alarming incident and one which we take seriously.
"We will be carrying out high-visibility patrols at the school tomorrow and I would encourage anyone with information to speak to us, whether you were passing, saw anything suspicious or have any more details on this taxi.
"The girl involved did exactly the right thing in ignoring this man and speaking to an adult straight away so it is good to see stranger danger messages work.
"I want all schools, parents and guardians to keep passing these positive messages on so we can continue to all be vigilant.”
A headteacher in Belle Vale emailed parents this afternoon to make them aware of the incident and to offer advice.
Mr Lee Ratcliffe of Calderstones school said they were made alerted to the suspicions approach by the Local Authority.
The email said: "The Local Authority has alerted us to an incident in the Belle vale area of Liverpool that has been reported to the Police.
"This involved a male adult in a car who acted inappropriately/suspiciously and approached a child.
"Whilst we do not wish to alarm parents whilst the police consider the matter we would encourage our families and carers to continue to ensure their child travels safely to and from school and is safe within the community.
"We are not able to provide any details of the incident."
Anyone with information is asked to contact @MerPolCC, call 101 with incident 202 of 11 June, or @CrimestoppersUK anonymously on 0800 555 111.
A petition calling for Erewash cabbies to be allowed to have fully-tinted windows in their taxis has been rejected over fears that vehicles could be used to enable the abuse of vulnerable children and adults.