Cut off the woody end of the asparagus spears and peel the lower third if necessary.
Heat a little sunflower oil in a large pan and fry the asparagus in it for about 12-15 minutes, depending on the thickness of the sticks.
Score the cherry tomatoes at the base of the stem with your fingernail and add to the asparagus about 5 minutes before the end of the cooking time and fry them. Season with salt and freshly ground pepper and deglaze with the balsamic vinegar. Arrange on a platter and drizzle the pumpkin seed oil over it.
Delicious side dish to pan-fried lamb or beef and rosemary or Tuscany potatoes.