This paper attempts to understand the regional convergence -both in terms of sigma and beta convergences- of per capita foodgrains production across the major foodgrains producing states of India over the period 1991-92 to 2011-12, by applying the conventional methods as well as the modem panel model approach for convergence hypothesis. While the former do not suggest sigma convergence, beta convergence is empirically established by the latter methods. Further, the paper also examines the convergence of per capita cereal consumption, and finds some evidence of beta convergence for rural consumption but not for urban consumption.