Hm, I'm more familiar with the Berninas older than the 1010. The old mechanicals will seize if they haven't been regularly oiled. Could be the feed dogs on your machine have seized for the same reason.
I've resurrected several seized Berninas from a 930 on down to some 530s by opening the top, side, and bottom and applying a couple drops of oil where metal rubs on metal. After the 830 Record, Bernina stopped including any extensive oiling directions in the owner's manual, even though the 930 requires it frequently. (Some say Bernina really wanted the repeat maintenance business, but the 930 also presented some special issues with the basting stitch and the electronic board.) However, I am uncertain how much a user can oil a 1010 without causing damage. Most Bernina manuals provide information for oiling the race but don't go beyond that. Something that may be worth trying is directing hot air from a handheld hairdryer into the area that houses the feed dogs to see if that loosens anything.
Whatever you do, don't use WD-40, 3-in-1, cooking oil, or anything other than fresh good quality sewing machine oil.
You can find a manual for the 1011 here. It may be close enough to your model to be of some use:
BERNINA Sewing Systems
There are some Yahoo groups whose specialty is the Bernina owner/lover, ie BerninaThirtySomethings, and some others. They are a very helpful and knowledgeable group that could be of assistance to you.