The Lega Serie A and B pushed forward plans to reduce both divisions to 18 teams within three years.
This was one of the main focal points for new FIGC President Carlo Tavecchio when he ran for office earlier this season.
According to reports, the latest meeting thrashed out a basic agreement for Serie A and B to cut down their competitions.
Serie A currently has 20 teams, while Serie B has 22, but by 2018-19 they must both have only 18.
The reform will be voted on in a meeting on June 30.
The top flight in Italy traditionally has had 16 or 18 sides, but it was increased to 20 in 2004-05.
Serie B had 20 teams from 1968 to 2003, then increased suddenly to 24 due to legal wrangling and was reduced to 22 a year later.
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