They say the county is being treated unfairly and argued for a review of the way in which spending levels are calculated.
Other delegations are lining up to visit ministers and officials to seek increased spending limits according to local radio stations around the country.
Among reports today BBC Three Counties says a delegation from Bedfordshire CC will meet Local Government Minister David Curry on Thursday.
A delegation of the four party group leaders on Oxfordshire CC, accompanied by chief executive John Harwood and county treasurer Christopher Gray, will today meet junior environment minister John Clappiston to argue for an increase in the authority's spending limit.
Mr Harwood told BBC Thames Valley FM this was the beginning of a process to influence government. Oxfordshire was the third-lowest spending county council yet it faced a shortfall of£22 million, or the equivalent of the entire current budgets of the fire brigade and library service.