Hello everyone, thank you for the response!
I do not have my overstruck coin at hand right now, but I'll try to show you a picture soon. Yes, the Swedish "Avesta 5 Kopek" of great interest for me, at the moment I have one 1787. For now I'm happy with that and focusing on getting a 2 kopek struck on a 2 Öre SM. A parallell to this coin also exists in the Swedish coin history. When Sweden began production of 1 and 1/2 Skilling in 1802, the old 1 and 2 Öre SM were devalued by 50% and an overstriking program took place, the 1 Öre SM were overstruck to 1/2 Skilling and 2 Öre SM to 1 Skilling. This took place 1802-05 in Avesta (1/2 Skilling were also struck on new planchets, though in Stockholm). However, there exists one known 1 Skilling struck on a English 1 Penny from 1797.
Do you experts from outside Sweden know any other coins struck on Swedish copper coins?