Is ASMedia ASM1061 SATA3 Controller supported under Linux ?
After some trial and error, I managed to make it work. First of all, I upgraded my kernel to the Debian backports version (2.6.39-bpo.2-amd64), then I had set the mode of the controller to AHCI and afterwards, it was detected at boot time. I hope it's stable and has no problems.
After a few days I can confirm that it's stable and that I had no issues with it. Transfer speed seems fine.
kernel commit. works perfect for me (tested in 3.7.8)