Cllr Keith Owen, Lead Councillor for Environment, Health and Wellbeing, said the the City Council had met with the police and sought the views of members of the local community and local councillors.
"We have carried out an initial review of our policy on dogs in Belmont Park and we will be putting recommendations to the next meeting of the council's Scrutiny Community," he said.
"A number of options need to be considered. Members need to decide whether to continue with the present regulations, which do not require dogs to be on a lead, or to introduce a new one requiring all dogs in the park to be on leads. I am aware that the latter option would not be popular with many responsible dog owners who use the park to exercise their dogs."
"In the meantime, we have increased further our regular patrols of the park and we are putting in CCTV."
Officers of the City Council can require out of control dogs to be put on a lead. The Council however has no power to insist that dogs wear a muzzle, a suggestion that has been put to it. Belmont Park contains a fenced off play area for children from which dogs are banned.
