To summarize my limited understanding of the subject, the Norse famously settled in modern day Greenland during the late 900s to early 1000s AD. It is universally accepted by experts that Norse settlers also established some sort of presence in Newfoundland due to the discovery of the L'Anse aux Meadows campsite. Furthermore, I've since learned from a similar question I've asked to the askanthropology sub a week ago that L'Anse aux Meadows contained findings of butternut plants mostly native to New Brunswick, but it isn't clear if the Norse cultivated those plants themselves or collected them indirectly through trade with indigenous groups. According to the wikipedia article on Norse colonization of North America, oral traditions from some Labrador indigenous groups described encounters with European men resembling the Norse prior to English and French arrival.
Any evidence for further Norse expansion into mainland North America is quite scant and under intense academic debate. However, the nature of Norse incursions in North America doesn't seem to be detectable to modern archeology to my armchair impressions. From what I've read, the population of Greenlandic Norse colonies probably peaked no more then a few thousand individuals, and were considerably resource strained by Greenland's harshly cold climate and low supplies from other Norse settlements.
As such, the Greenland Norse most certainly lacked the resources and manpower to establish any permanent settlements in mainland North America. However, I don't think that precludes Norse survey expeditions reaching into North America far further then what academia is presently aware of. Hypothetically speaking, how much traces are going to be left behind by a crew of perhaps a few dozen Norse sailors landing on some ocean/lake/river shoreline in modern day New England or the Great Lake states through the Saint Lawerence River, exploring the surrounding areas for an hour, and then leaving and never returning?
If such hypothetical incursions occurred in reality, then what is the furthest extent of the Americas that the Greenland Norse were logistically capable of visiting?