Add the vegetables and parsley to the Thermomix bowl. Chop for 10 sec/speed 6 until finely chopped. Scrape down the sides of the mixing bowl with a spatula.
Add the olive oil, salt, and pepper. Cook for 20 mins/Varoma/speed 1 with the simmering basket on top instead of the measuring cup. After cooking, scrape down the sides of the mixing bowl with a spatula.
Let the mixture cool for a few minutes to allow the steam to settle. Put the measuring cup on then blend for 1 min/speed 9, gradually increasing the speed and scraping down halfway through. The paste should be thick and smooth. Be aware that it can stick to the underside of the lid, so scrape that down too.
Spoon the paste into ice cube trays for the freezer or into a jar or airtight container for the fridge. (Each cube in my tray holds roughly 1 heaped tablespoon, but yours may vary). See storage notes below.