Ice sheets provide exceptional archives of past changes in polar climate, regional environment and global atmospheric composition. The oldest deep ice drilled in Antarctica has been retrieved at EPICA Dome C (Antarctica), reaching 800,000 years. Retrieving an older paleoclimatic record from Antarctica is one of the biggest challenges of the ice core community (Jouzel and Masson-Delmotte, 2010). Here, we use a combination of internal layers identified with airborne radar and ice-flow modeling to estimate the age of basal ice along airborne transects in the Dome C area. The forward model used is one-dimensional based on the Lliboutry (1979) velocity profile. The inverted parameters are: the surface accumulation rate, the p+1 exponent of the velocity profile and the geothermal heat flux. We identify a region located only ~40 km from the dome on a bedrock ridge where the estimated basal melting is small or non existant. As a result, basal age is estimated to be >1,500,000 years. Other old spots might also exist. The optimization method used in based on the Levenberg-Marquaardt algorithm but, since the foward model is highly non-linear, we plan to implement a Monte Carlo Markov Chain method.