When I indicate left or right, the indicator on the dashboard doesn't flash, it just stays solid green.

Also - the indicator light outside also stays solid.

Scary thing is, this happens occassionally, sometimes it happens, sometimes it works fine.

What's wrong here, and how should I fix it?

Take it to an auto elec to be sure, but sounds a lot like the flasher unit is buggered. The one I had to replace in a truck was right behind the dash so I imagine the car is the same.

I found a dash fuse relay compartment diagram.

I'll try and see if I can replace it myself with parts from supercheap or Auto1 and will let u guys know how i go