I think they are different and incompatible. I've only seen photos of the Lavazza's but to my eye they seem to be a different shape. The CaffItaly system is now in the US, sold by The Coffee Bean and Tea Leaf, so you can just walk in and buy machines and capsules. (see CBTL.com). I tried the CBTL machines it this week, comparing them to the Nespresso's, and I think they compare favorably, and are priced much lower!
Switched to Single Serve...
after years of home espresso making.
Started with Bosch Tassimo,
then moved across to Keurig B60.