"I am sure we will come to a shared and sensible solution," Di Maio said in a statement.
The League wants to suspend rules governing public tenders in the construction industry for two years, to kickstart building activity and stimulate the economy. But Di Maio's 5-Star Movement sees this as a corruption risk.
5-Star Transport Minister Danilo Toninelli said earlier on Tuesday that the League might be using the building code as a pretext to bring down the coalition.