The most probably choice for a wve to avi conversion seems to be the export of Wondershare Video Editor projects (.wve) as AVI videos. If you looking for this conversion, then you can do that in the program using the default export function. Wondershare also offers trial version, so it may be worthwhile to check the program if you are attempting this conversion.
It appears that other programs, for example Cyberlink PowerDirector, also use .wve files for their projects and also may be able to export it as AVI video. Different conversion, just sharing same extension for the file types.
Updated: January 3, 2017
Articles and other information relating to wve into avi conversion:
What is WVE file, how to open and convert it - Detailed information about Wondershare Filmora .wve project files