Boil the potatoes, uncovered, in salted water for approx. 15 mins. until soft. Remove, allow to cool slightly, cut in half, mix with oil and salt.
Heat the oil in a non-stick frying pan. Fry the octopus tentacles all over for approx. 10 mins., remove. Cut into approx. 2 cm pieces, mix with oil, paprika and salt. Using toothpicks, stick the octopus pieces and parsley into the potatoes.