Resolved in: 2.0.4
We discovered some issues when using the WP All Import plugin to import variable products in multiple languages.
The first problem is when after import you don’t see products at all. This is easy to fix: make sure that you are using the WP All Import plugin with the official Woocommerce extension provided by the authors of WP All Import. You can find it here: http://wpallimport.com/
The next problem is the stock status for variable products. Stock status is not synchronized between languages, so when someone buys a variable product in English, the number of items will be decreased only for the English translation.
We are currently working on a fix to resolve the stock status issue and will update this page as soon as the fix is available.