Pre-heat the oven to 180C (360F) fan-forced and line an oven tray with baking paper.
Toss the pumpkin with 1 tablespoon of the oil and spread in a single layer on the tray.
Roast for 30-45 minutes or until golden then set aside to cool slightly.
Rinse the quinoa under running water and then place in a large frying pan and heat, stirring, until the water is absorbed.
Transfer the quinoa to a small saucepan and add 1 cup of water. Bring to the boil then reduce to a simmer, uncovered for 8-10 minutes or until the water has been observed.
Fluff with a fork and set aside to cool.
Transfer the quinoa to a large bowl and add the pumpkin, breadcrumbs, eggs, cheeses and basil and mix.
Form the mixture into 12 patties.
Heat the remaining oil in a frying pan and cook the patties for 2-3 minutes on each side or until golden.