The question of whether the city and a professional women’s soccer team will be halted from moving forward on a major restoration at Franklin Park’s White Stadium remains unanswered.

The uncertainty continues after a Suffolk Superior Court judge did not issue a ruling on a request from park advocates and neighbors to stop the project from proceeding and granted time for both sides to submit supplemental responses to their arguments.

Ed Colbert, an attorney representing park advocates and neighbors, argued that the project would “unconstitutionally privatize” the public land and cause “irreparable harm” to city children and the park itself.

Gary Ronan, an attorney representing the city, called the plaintiffs’ dispute an “attack” on the project and did not accurately convey what the public-private partnership with Boston Unity Soccer Partners intends to accomplish.

Wednesday’s hearing marked the first time that the plaintiffs and defendants have squared off  in the case

Developing …