Provençal omelette cake

Name: Provençal omelette cake
Ingredients: 10 egg; 1 tbsp olive oil, plus extra for frying and drizzling; 2 courgette, finely chopped; 3 spring onion, thinly sliced; 4 roasted red pepper from a jar, drained and finely chopped; 1 garlic clove, crushed; 1 red chilli, deseeded and finely chopped; 300g soft cheese, such as light Philadelphia; 5-6 tbsp milk; 4 tbsp snipped chive; 2 tbsp chopped fresh basil; rocket leaves and shaved Parmesan (or vegetarian alternative), to serve