The 28-year-old, who was born in Ghana and moved to Walsall with his family at a young age, started out with Bloxwich United.
His displays earned him a move to the Pics where he spent four seasons, scoring 56 goals in just under 200 appearances.
A move to Kidderminster Harriers came in 2014 before Obeng went on to serve Hednesford Town, Stafford Rangers and Leamington – enjoying promotions with the latter two.
Most recently he played for Rushall’s Southern Central Premier rivals Tamworth, who were level on points with league leaders Peterborough Sports before the coronavirus hit.
Now, Rushall manager Liam McDonald has brought Obeng back to Dales Lane for the 2020/21 season.
“I am absolutely delighted to get this deal done,” McDonald said. “Ahmed is still an extremely popular figure at the club from his first spell here and he adds quality and knowhow to the group.
“We know what he is capable of and this is another exciting addition. He is keen to be part of the journey that we are on and we’ve not only secured ourselves a really good player but also a hard-working and determined character who will fit in well with the rest of the lads.”
n Meanwhile, former Albion defender Jordan Piggott has made a three-division jump from Halesowen Town to be reunited with Solihull Moors boss Jimmy Shan, who coached him in his days at the Baggies.
He said: “I’m absolutely buzzing to be honest. For me personally I wanted to be back in the full-time game, and this is a great opportunity to do so.
“I know Jimmy from my West Brom days and I know the coach he is, the aspirations he’s got for himself as well as the club.
“It’s a club going in the right direction and it’s great to be here.”