Tennis Centers in Roma, Venice and Milan are based on Clay, with the exception of Hardcourt Courts in Rome, Just like any other Country, they are based on a major Court, Japan is based within Indoors/Carper, England and the Glorious Glass, France and Spain on Clay.
The Italy Sports Federation has never given Tennis major funding, Not before Athletics, Cycling, Basketball etc. I wouldn't know that would play a contribution much, seeing as Italy has a large part to play in the leadup to the French Open, Tennis is certinaly popular in Italy, but just not on the priority within Funding.
If you want to go through some players...
Silvia, Francesca and Rita have been great Ambassadors to Italian Tennis but there not "Prodigies" Silvia and Francesca at their part would be considered in their peak, They continue to produce results and represent Italy in Tennis. Rita of late seems to be not preforming up to her standards. They are 32, 24, 29 Respectivley.
Flavia is 22, and been climbing the rankings over the year, she can certinaly hold The Italian Top Ranking, Young and Somewhat Experienced, but she is defintly not a Junior. Somewhat in the "wop-wops" for several years. Same with Maria Santalego, 23 and showing signs of moving up.
Maria-E-Camerin, 23 Years old, A Late Bloomer and wasn't really known until some good results in the early parts of the Clay Court.
Tathiana Garbin, 27 and enjoys floating around the latter part of the top 100.
Roberta Vinci-21 Is defintly someone to look out for in the Future, Has excellent Doubles Results and is showing signs of Strength in the Singles Rankings.
Adriana and Antolnella are around 28, Fallen of the Singles and don't seem to be any threat to Italian Singles.
Nathalie Veirin 22 Is a Middle Teir player, Has pushed the likes of Obziler to 3 Sets and Fokina and Has had a win over Panetta.
Giulia Casoni is 26ish and plays the majority of the time on the Challengers, has a SF in 25K Challenger, Defintly not a contender
Alice Canepi, Berta Briante, Valentina Sassi, Rita D, Francesca Lubiani, Elisa all no Threats, and enjoy Playing the Challengers.
Watch Out for Emily Stellato 22, She pushed Kirsten to 3 Sets.
Probably the Biggest Name is Romina Oprandi, She was a defect from Switzerland, where she opted to play for Italia
Shes 18 and has had 2 SF and a F in 10 K Events.
There is a few other players, but in general I hope that is Satisfactory.