Skövde looked to be heading for a secure home victory when they took on Heid.
At the break they led with five balls and at the beginning of the second they continued to pull away.
With fifteen minutes left, they led 24-15, but Heid had not given up.
They slowly but surely started to catch up and with just over two minutes left of the match, Linn Hansson equalized.
The incomparable pick-up was still in vain when 17-year-old Melina Pilav put 27-26 just under a minute later.
At the final signal, Skövde players were greatly relieved.
With the victory, Skövde went up in the series lead, while Heid remains in last place.