Thames Valley Police is appealing for information after an unknown man approached a child in a shopping centre in Banbury.
A family was at the Castle Quay shopping centre at around 12.15pm when the unknown man approached the two-year-old child and held her hand.
The father of the child intervened and the man walked away, exiting the shopping centre.
The man is described as white, aged between 60 and 68-years-old, 5ft8ins of medium build with short grey hair.
He was wearing a red Manchester United top and jeans.
Det Con Rebecca McCamley said: "This incident obviously caused concern for the parents and we would like to speak to the man in question to better understand what happened. I would ask the man, or anyone who knows him, to contact police and help us with our investigation."