Boston promised to roll out the red carpet for Verizon if the company would expand its high speed FiOS service across the city, but the telecom giant at a hearing yesterday told the City Council no thanks.

“We never said we would go everywhere, and we don’t have any intention of expanding FiOS here or anywhere else,” said Peter Bowman, a Verizon vice president. “We continue to be focused on building out where we have contractual agreements.”

Internet service in Boston is dominated by Comcast, with RCN serving some neighborhoods. FiOS is only available in parts of the Seaport and downtown neighborhoods, as well as a small portion of north Dorchester.

Verizon earlier this year said it would not expand FiOS to new parts of the country.

“The calculation that Verizon has made is they can focus on their wireless business and on monetizing their existing FiOS buildout and be more profitable than expanding their FiOS footprint, which leaves cities like Boston in a lurch,” said David Talbot, a fellow at Harvard University’s Berkman Center for Internet and Society. “There’s a lot of evidence that when you have competition, you end up with better prices and having faster services. It benefits everybody.”

Administration officials and city councilors told Verizon representatives they would reduce regulations, help with permits and make the city an extraordinarily welcoming place to build a network.

“The city is willing to do whatever we need to do to facilitate private broadband investment in a way that is beneficial to all of Boston,” said Jascha Franklin-Hodge, chief information officer for the city.

The hearing was on a resolution — co-signed by every member of the council — asking the state Department of Telecommunications and Cable to help convince Verizon to add FiOS service in Boston.

“High speed Internet is no longer a luxury, it is a necessity,” said Councilor Matt O’Malley, who filed the resolution. “This city … is being held back because of a lack of access to opportunity, and that’s not right.”

Neither the city nor state have the authority to compel Verizon to expand service.

The city is hiring a full-time advocate to create a policy to encourage better broadband service, and Franklin-Hodge said all options are on the table, including the city building part, or all, of a fiber network.

“If the reality of investment conditions are such that private industry can’t or won’t make investment here,” Franklin-Hodge said, “absolutely the expenditure of city money has to be on the table.”