cables from led strip to power supply were… melted (especially GND one).
Do you think is just a cable issue (I should use thicker cables) or are any other attention points to consider?
Please let me know what do you think…
You might want to use heavier wire. It is hard to tell from the pic but your wires on the strip look like they are stripped a bit long. Are you sure they could not have touched one another and or some other metal object? I would put some heat shrink over them next time or some hot glue. Definitely add a fuse between the strip and the power supply on the +.
Do you use White a lot? I don’t think you would smoke the wires unless something shorted or you were using white.