The greenland colony was abandoned IOTL mainly due to it being no longer profitable to exist. IE. The main reason for the "colony" (after 500 years is it still a "colony"?) was for resource exploitation of the high arctic. Ivory (walrus and whale), hides and furs, etc. The farming was a means to help support these activities. Yearly trips to Markland and Vinland were for resources (such as lumber, meat, nuts and fruits, etc) to help support these high arctic adventures.
Towards the end of the colony's run, the Norse were living a life style similar to the inuit (their diet consisting of upwards of 80% seal, fish, etc). But the profits were largely gone, and they did not want to give up (totally) their culture. So the remaining thousand or so people departed for parts unknown.
That being said, IOTL, a good number of norse people likely did integrate into Inuit and other native groups over the centuries. Norse populations were often short on women, and men being men... Not to mention when western settlement was abandoned, ~400 to 500 people "vanished" (and went heathen, according to the church). They likely migrated to the Americas. Some lost on the voyage and the rest integrating into the cultures they were trading with for centuries.
So IOTL, there was (very likely) some integration with the natives, etc. But it was not enough to have a lasting noticeable effect on the locals.
(It had more of an affect on Europe, in that the europeans "learned" of the lands beyond the ocean and their wealth. And we all know what happened then...).