Aironi, from the northern town of Viadana, and capital team Praetorians were given the green light ahead of Benetton Treviso and Duchi Nord-Ovest.
Their addition will see the Magners League increase in size from 10 to 12 teams.
The two franchises will have until 30 September to demonstrate that they can guarantee the funds needed to support a team in the league. The FIR has put in place a financial scheme to help encourage the two franchises to sign Italian players, in an attempt to get as many native players competing at the highest level of club competition.
Praetorians will be based in Rome and will play at the city's Stadio Flaminio, while Aironi will be based in Viadana but will play some matches in the city of Reggio Emilia.