In other words (correct me if I am wrong), the router has 2 FastE interfaces, one end connected to ASA and carry 10.1.2.x ip, while another FastE interface assigned with 11.1.1.x ip and connected to another 188.8.131.52 segment.
You can't ping it because your ASA does not recognised or can reach (route) 11.1.1.x.
a. Add static route to the router:
route wan 184.108.40.206 255.255.255.0 10.1.1.x
b. Permit icmp to wan interface from 11.1.1.x
icmp permit host 11.1.1.x any wan -or-
icmp permit 220.127.116.11 255.255.255.0 any wan
On your router, if all access need to point back to ASA, then create default route to ASA (or add specific route):
ip route 0.0.0.0 0.0.0.0 10.1.2.y --> ASA wan interface IP
Table of ContentsIntroductionVersion HistoryPossible Future
UpdatesDocuments PurposeNAT Operation in ASA 8.3+ SectionsRule Types
Network Object NATTwice NAT / Manual NATRule Types used per SectionNAT
Types used with Twice NAT / Manual NAT and Network Obje...
Table of Contents Introduction:This document describes details on how
NAT-T works. Background: ESP encrypts all critical information,
encapsulating the entire inner TCP/UDP datagram within an ESP header.
ESP is an IP protocol in the same sense that TCP an...