Quantity surveyor Baker Wilkins and architect HLM have linked up with Mousawi's AM Building Services. Others have expressed interest.
Tim Siddons, the partner at Baker Wilkins responsible for the Middle East, said: "When Iraq came back to life earlier this year after the fall of Saddam Hussein, Ali wanted to go back. We have a daily exchange of emails with him over a range of schemes."
Baker Wilkins favours work in the private sector as it believes funding is more reliable.
Siddons said: "We don't need to rely on UN, US and UK funding; that will take a while to come through. If we go for work on a hotel, for instance, we get in there first – and he who gets in Iraq first will clean up."
Baker Wilkins has re-established an office in Iraq. The division closed down in the early 1990s.
HLM chairman Chris Liddle said he was keen to work on civilian infrastructure schemes.
He said: "We remain unsure about the security issues in Iraq on a daily basis but there is no doubt the wealth of knowledge in British consultancy in healthcare and education can really help to rebuild the nation in the medium term."