There is a short but useful article in the spring 2012 Northern Brewer catalog that describes corking Belgian style bottles. The author, Karl Engebretson, set the "portuguese floor corker to its shortest setting. That way the corker would only push the cork partially into the bottle. Once corked, the bottle was lightly stuck in the corker so I gently rotated and pulled the bottle down out of the corker. A champagne corker would aid the process of leaving the cork partially in the neck of the bottle and removing it smoothly, because that is what it is designed to do."
"After corking, I placed a wire and hood over each cork and tightened the wire with a carabiner...."
So, it is possible to use either the standard Italian or Portuguese floor corkers for Belgian corks.