Okay, I'm done trying to reason with their support, especially seeing the avalanche of similar negative reviews from other customers whose packages were "lost". It's been two weeks since my parcel arrived at their facility. Their support assistants act as if the situation was normal. They parrot the same questions to buy time (first they wanted a tracking number from Amazon and actually claimed they did receive the item, now they've asked for the invoice pdf file - so it's "lost" at their facility, pretty much like many other items mentioned by other reviewers below).
On the third round of livechat they did finally create a ticket (#*******, if their representative ever appears here) with a promise to contact me via email, but naturally, I never heard back from them.
Their livechat is a pitiful excuser for support service. They do not have a contact phone or a real address (the one listed on the website is phony) and there is no way to contact them directly.
Based on other reviews I don't really expect to receive my package but there's at least some consolation in leaving a honest review.
Avoid them. Borderlinx is a scam. They are absolutely non-transparent and you will have no ways to influence the situation. There are other safer services out there. With Borderlinx, you pay double for what will end up as a gift to their staff - perhaps with a few rare exceptions (not counting the fake-sounding half-line positive reviews here).