Try the following - it appears to be working for me:
In your weak amblyopic eye, have a contact lense fitted, BUT initially, don't try and attain 6/6 vision, but have a weaker prescription instead - this will obviously improve they eyes' vision, but MAY help your brain to 'learn' to use the two eyes together, to achieve binocularity.
If this works, you can then try and upgrade the contact lense to a stronger prescription, but bear in mind that if the unequal refractive error is severe, you may experience diplopia, (double vision), due to the perceived size of objects viewed. (An eye with corrected vision can see objects smaller, so this may not be compatible when it comes to working in unison with your other eye to achieve binocular vision).
Best of luck - this problem is a pain in the a*** at the best of times
FD