One of the easiest glacial tongues to reach is Sólheimajökull. This icy outlet glacier unfurls from the main Mýrdalsjökull ice cap and is a favourite spot for glacial walks and ice climbing. Rte 221 leads 4.2km off the Ring Road to a small car park and the Arcanum base camp office, from where you can walk the 800m to the ice along a wide track edging the glacial lagoon. Don't attempt to climb onto the glacier unguided.
Crevasses form often, so to walk on the glacier you should go with any of the area's tour operators; tours depart from the car park.