Assembly Democrats insist that localities across upstate and Long Island be given the authority to create their own regulations aimed at companies like Uber and Lyft.

The companies and Cuomo envision a single statewide regulatory scheme.

Presently, New York City is the sole place in New York where ride-hailing is legal, and the city government has the final say over how the companies are regulated.

“Metropolitan areas are unique and have their own needs … We respect that. We respect that Westchester County may have more stringent requirements than Chautauqua County,’’ said Assemblyman Kevin Cahill, an Ulster County Democrat and sponsor of the ride-hailing effort in the Democratic-led Assembly.

The ability of localities to determine whether to permit ride-hailing companies and then regulate them has been among the major sticking points of the transportation debate.

The legislation could be approved next week.

The Senate has backed a different approach, which is also different from what Cuomo has proposed. Whether the differences are resolved and a ride-hailing effort makes it into this year’s budget later this month – or is punted until the end of session in June – is too early to determine.