since nakaembed na sa router ng globe ung username/password, what you can do is to connect the edimax router in the same subnet by putting the rj45 cable from the globe broadband router to the edimax router para nakaseries sila.
for example:
globe broadband router - 192.168.1.1
edimax wifi router - 192,.168.1.xx
make sure that the broadband router's dhcp server is turned ON.
enter the web configuration of the edimax router and make sure na nakaset sya to function only as an access point and not as a router. go to WIFI configuration and set the ssid along with the security of your choice (WEP, WAP, PSK, etc)
that's it.. all routing will still be handled by the globe broadband, but the wifi requests will be handled by the edimax.
hth