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Preheat the oven to 180°C and line a baking tray with baking paper.
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Bring a large pot of water to the boil. Add the kale and cook until bright green - about 20-30 seconds. Strain, rinse with cold water and pat dry with a clean tea towel. Put the pot back on to boil (this time for the pasta).
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In a food processor, blitz the blanched kale, basil, garlic, lemon zest and juice, olive oil, parmesan, walnuts, salt and sugar until it forms a thick paste - this usually takes 3-5 minutes.
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Chop the brussel sprouts into quarters and the broccoli into small florets. On your baking sheet, toss the vegetables with a couple of tablespoons of olive oil and a generous grind of salt and pepper to coat, and spread out in a single layer. Roast in the oven for 10-20 minutes or until crispy edged and fragrant. This will depend on the size of your veges - and if you use any other vegetables you may have to adjust the cooking time.
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While the vegetables are cooking, cook your pasta in the boiling water according to packet instructions. Reserve 1/2 cup of cooking water, drain the pasta and return it to the pot.
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Add about 1 cup of pesto and 1/4 cup of cooking water and toss to coat - add extra pesto and cooking water if it seems dry/depending on how much pesto you like on your pasta! Add the roasted vegetables and stir through.
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Serve the pasta sprinkled with extra parmesan. We often serve this with panfried fish as well.
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Place any left over pesto in an airtight jar or container and store in the fridge for 1-2 weeks