Originally Posted by roamingyak

Interesting question, the Ethiopian border seems open for a few months, worth monitoring the situation as it might change and become a bit stricter... I'd make sure I had a double entry Ethiopian visa for example.

story1
"The border is almost entirely open. Ethiopians can cross without visas and with only a cursory ID check. Even some foreigners have been able to enter Eritrea without any documentation. There are as yet no customs officers or tariffs on any goods."

story2
"But the weight of new arrivals has left the region struggling to cope, raising fears the border could close again"

And remember previously you needed travel permits to move around inside of the country, no news on these being abolished so best ask at embassies in Addis I'd suggest for example...
Story3
"Since 11 September, the border between Eritrea and Ethiopia is open, Eritreans and Ethiopians can cross almost without bureaucracy. For international travellers, there are however some challenges:
- Inside Eritrea, you need a travel permit for all trips further than 25 km from Asmara.
- Since there are no real border formalities yet, you cannot get an exit/entry stamp into your passport. After crossing, you won't have a proof that you have crossed legally, which can create problems - or maybe it's even not possible altogether.
However, according to another travel forum, the Ethiopian embassy in Asmara now issues visas, so there might be an option.
Any insight or experiences are highly appreciated!"

Anyway, go and figure it all out for us ;-)