Suggests that the two way switch is ok and that dimmer possibly not.
Personally I would ISOLATE power, NOTE the dimmer wiring and disconnect, use a connecter block to join together the wires taken from L and common,
Park the wire from L1 safely in a connecter block
Reset the power and the lights should hopefully work as one way from the other 2 way switch, until you can sort out a dimmer if needbe
EDIT as switch has common, L and L1
Rather than common, L1 and L2 sorry
OK, Common and L together, with L1 tucked away. The 2nd switch now controls the spots in question which come on as they should........ A new dimmer needed me thinks.......
For future reference/understanding, would I get the same effect with L1 and common together? Just with the 2nd switch operating on/off in the opposite position?
Many thanks to all for your help.