Independent consultant Oliver Frank is handling PR in Germany.
Max previously worked with Parkgreen Communications for PR.
Max chief operating officer Steve Kappelle is also on the board of Uranium Mining Corporation, another Pelham client.
Founded in April, Max owns three drilling blocks in Kazakhstan, covering 12,000 sq km – eight times the size of greater London.
Pelham is promoting these blocks as unusually high yielders of oil, with around 1,500 of the 2,100 Kazakh wells drilled when the country was part of the former Soviet Union.
Two of Max's oil-producing onshore properties are close to the multi-billion-barrel Tengiz and Kashagan 'super-giant' oil fields.
Max has sought to distance itself from Kazakhstan's reputation for political volatility, saying it is not affected by recent Kazakh legislation that restricts foreign ownership of natural resource assets.
It hopes to raise £26m from the AIM listing and will have a capitalisation of £90m. Max CEO James Jeffs is a former chief executive of Texas-based oil and gas exploration company Whittier Energy.