Source?
This source claims, on balance, an apparent net loss for Greenland ice:
It is true that both Greenland and Antarctica have gained mass, but only at the high elevations in their interior. This is because of increased snowfall, which even though it may seem counterintuitive, is actually expected under warmer conditions. However, both have been losing ice at the coast at increasing rates in recent years. In Greenland, it is becoming apparent that there is a net loss of ice. In Antarctica, the data are inconclusive, although the most recent results point to a loss. Under continued warming conditions, a net loss of ice is assured and rising sea levels would follow.
http://nsidc.org/news/press/20060706_goremoviefaq.html
According to the NSIDC (National Snow and Ice Data Center), it looks like Greenland probably has a net loss of ice.