Thats right Ettore, unlike FoF there is no 'Replay' in CoG EE, all folk will see is the Map, however they still need to send in their Nations .rep &.sve files to you for Merging.
Re the "Check" bit, yes you can fairly easily see (FoW permitting) if stuff has moved, you can also have a Looksee at the 'Events' page to see if things have happened on the Diplomatic/Economic front.
A couple of 'Just in case' for you; to make full use of the 'Events' page and 'Politics', 'Treaty', & 'Battle' tabs accross the bottom of the Map make sure that you and your friends click all the 'Check boxes' for all Nations/provinces on the Left hand side of the Diplomacy-'International relations' page.
+ make sure that everybody understands to use their 'Set PBEM Policy' ASAP, (Right click anywhere on the Map and select the PBEM Policy line, ... Supply Depots at sea are also set from that Dialouge box ... obviously in a Sea Province ). seting PBEM Policy is important as it can affect if Minors ask for Protectorate status and other stuff, a rough 'Rule of Thumb' for gaining Protectorates is if your Nation can not go to War to protect the minor they wont ask, eg Alliances, or 'be Aggresive with' not ticked on the PBEM policy page will most likely stop you gaining Protectorates; also make sure to uncheck any produce, Horses, Wool etc that you do not wish to export in the 'Trade Policy' section.
Oh, and Bottom left corner of the PBEM Policy page is where folk can set their Password, I'm passing these on to you as they are bits that folk often ask in most games when 1st starting.
All the Best