E-signature is great. I am not sure what service level is across Europe, but in my country it is half-baked due to:
1) software or plugins for signing should be available for free
2)All authorities have to accept same key (here in my country is huge problem with this. Governement offices and institutions accept different keys. Banks doesnt accept anything at all.)
3) Connected systems needs to be automated. its not acceptable to have manual verification and 12 hours sync between e-private-mailboxes (not fully related to esign).
4) if i can send form signed with e-signature it has to be delivered with appropriate automated feedback (meesage delivered,accepted,rejected)
5) they force users to use windows, internet explorer and expensive software, timestamps.