The Public Fundraising Regulatory Association is in talks to establish agreements to regulate street fundraising in 16 more local authority areas across the UK.
Forty areas already have site-management agreements, which say how many fundraisers can work in a particular place, where they can operate and on which days.
Toby Ganley, head of policy at the PFRA, told Third Sector it was negotiating similar agreements with 16 more councils or town centre managers.
Ganley said the increased level of interest was possibly because of the finalisation of some high-profile agreements in places such as Manchester. He said he did not think the agreements would affect charity fundraising levels.
"We strongly believe responsible fundraising enables it to be sustainable, and that’s the basis that we negotiate these agreements on," he said.
Edinburgh is one of the towns currently negotiating with the PFRA about an agreement. The city centre management company Essential Edinburgh issued a statement saying street fundraisers would have to wear appropriate identification and not pressurise or harass people.
Liz McAreavey, interim chief executive of Essential Edinburgh, said: "The agreement with the PFRA ensures that the right for charities to raise funds is balanced by the rights of people to go about their business without feeling harassed or pressurised."
A spokesman for the PFRA said these statements referred only to the code of conduct observed by all its members and negotiations were continuing with Edinburgh about detailed operational arrangements in the city.