Greek firm Universe Maritime - which manages the Prestige - hired the crisis outfit when the vessel hit stormy seas at the end of last week.
The Bahamian-flagged ship - owned by Greek shipping firm Mare Shipping - split in two and sank on Tuesday, potentially committing around 70,000 tonnes of fuel oil into the Atlantic.
TRS Reprise founder Tony Redding said it was 'early days' of the crisis and said messages would 'focus on the facts'.
'I am concerned with direct threats to the reputation of Universe Maritime.
My priority is to deal with any suggestion UM was responsible - in terms of quality of the vessel or behaviour of the crew,' he added.
A key message would be on the compensation likely to be offered to coastal communities in Spain affected by the pollution.
Redding said compensation would be paid by Mare Shipping's liability insurers and the International Oil Pollution Compensation Fund.
Attempts to salvage the ship were made by Dutch company Smit International.