Despite the announcement, analysts said the government wasn't really giving much ground.
"They take three steps forward so when asked to take a step back, they are still ahead of the starting point," said Julia Lakatos of the Center for Fair Political Analysis, adding that measures made it seem like Hungary had listened to its critics while not "actually changing the status quo."
While political campaign ads will be allowed on commercial TV and radio, broadcasters won't be allowed to charge for them and all qualifying political parties will have to be given equal air time. This makes it unlikely any ads will be run, Lakatos said.
Political parties will still be allowed to run free ads on state media, whose audience, especially for TV, is usually much smaller than for private media.
Prime Minister Viktor Orban's Fidesz party, which leads a two-thirds majority in parliament allowing it to pass legislation without involving the opposition, originally passed the ad restriction with the supposed purpose of limiting campaign costs.
As for the churches, Repassy said all religious communities will be allowed to function as churches but parliament will still keep the right to designate so-called recognized churches, which could be granted the tax breaks and other advantages which all churches in Hungary had until the current government greatly restricted their number.
Some of the changes expected to be passed next month to the Basic Law, such as the planned merger of the National Bank of Hungary with the financial markets watchdog, have been welcomed by the EU.
Parliamentary elections are planned to be held in Hungary in April or May, possibly at the same time as elections for the European Parliament.