Boston Mayor Michelle Wu and Governor-elect Maura Healey said Tuesday they’re ready to collaborate on pressing issues like housing, transportation and addiction.

What exactly those state-city partnerships will look like, though, remains an open question after the two leaders met in City Hall for their first in-person dialogue since Healey was elected governor last month.

“I know this will be the first of many meetings, many regular meetings and conversations, because that partnership between the city and the state is so, so important,” Healey said after meeting privately with Wu in the mayor’s office. “And it was interesting in speaking because so many of the issues that we confront at the state level are issues that the city of Boston confronts as well.”

Wu and Healey are both Democrats, and Wu endorsed Healey for governor, saying in July that she looked “forward to working alongside Maura to make housing more affordable, improve our public transit system, invest in public education and deliver on a Boston Green New Deal with our communities.”

Many of Wu’s big-picture policy goals, like eliminating transit fares or reinstituting rent control in Boston, would require state approval — and buy-in from the next governor could improve their odds on Beacon Hill.

On rent control, Healey said she believes it's “up to communities to decide.” That position marks a shift from outgoing Gov. Charlie Baker, who generally opposes it.

Massachusetts has had a statewide ban on rent control on the books since voters passed one at the ballot in 1994. Wu has said she wants to put a home-rule bill before the Legislature early next year that would allow Boston to put a rent control policy in place.

“Our goal is to really present all of the research and the conversations and data and thinking that is behind our policy and make the case that this is what we need in this moment in the city of Boston, and then work and engage the state at that moment,” Wu said Tuesday.

Wu and Baker have been at odds lately over the substance use and homelessness crises centered around the intersection of Massachusetts Avenue and Melnea Cass Boulevard. Wu has called for the state to step up to help, while Baker and his team say they’ve provided significant funding and that the city should do more to address the sale of illicit drugs there.

Healey didn’t say whether she thinks the state should be doing more to help out at Mass. and Cass, calling it a “subject of ongoing discussion.”

“What’s important here is that teams are talking — the state team talking with the team here in the city of Boston, working with other towns and cities around the state, making sure that there is a ready flow of information," she said. "And then together we’ll figure out what we need to do when it comes to housing and treatment and options. It’s all about communication and it is about partnership.”

Wu agreed that communication will be key. “I think we have a partner here and with every policy, it ends up — the success of our implementation ends up being about the day-to-day conversations, communications on the ground and the nitty-gritty details of how to move things forward,” she said.