Cut and grill the vegetables in 200C for 15 minutes in a pan well coated with olive oil. Pour oil generously on the vegetables too.
Mix cream cheese and pesto and mix with grilled vegetables.
Layer vegetable-cheese-pesto mixture, mozzarella pieces, and grated parmesan in a lasagne dish and cook for 15 minutes in 200C.
Serve after 10 minutes with salad.