You can import, but not export a netlist. You can not export bEAGLE schematics, not that any reasonable person would want to do so, as ugly as they are. Yes, you can probably write a ULP to generate another program's format, (lots of work at both ends) but, after you've done that for a year or two, without success, you'll see why schematics are not generally exportable or importable.

In bEAGLE, the schematic symbols for the component will be the main obstacle, as it has to be bound to a PCB footprint. Perhaps the easiest path would be to capture the graphic image of the entire sheet, and export it to PAINT, via print-screen, and then operate on the resulting exported graphic format file.

It would probably be easier to write your own schematic capture package and equip it with a bEAGLE-compatible-netlist generator.

RE