If you save as EPS and the importing application complains that there is no data, or only bitmapped data, try saving with no profile.

When you save as EPS, you can choose no profile, black and white profile, or color profile. Choose none.

It appears that when it saves with a profile, it Only saves the profile. And that profile isn't printable even though the raster data appears in the file.

This seems to be happening when going from Adobe Illustrator CS4 to CorelDraw X4 or to Cut2D or VCarvePro.

Thanks to Joe D for this tip.