Please let me know what does the router command in subject do. Does it do natting in both the directions regardless of the either interface being inside or outside. I couldn't find much documentation on this. However, it works in both the directions and not only on the source ip initiated from inside interface but all on desitination ip initiated from outside.
When i get a chance later on i'll set it up on a router and capture the translations so you can see how it works.
All i can say for now is that because it is a static translation it will work both ways. So taking your example above
Pro Inside global Inside local Outside local Outside global
--- 188.8.131.52 10.1.1.1 --- ---
--- 184.108.40.206 10.1.1.2 --- ---
Inside global address 220.127.116.11
Inside local address 10.1.1.1
So packet with a destination IP address of 18.104.22.168 entering on the outside interface will match this rule and therefore will be translated.
Note that inside and outside here are only meaningful in which interfaces you designate as inside and outside.
Like i say, later on i'll set this up but if you have a router you could try it yourself.