To address the conflict caused by the fixed sampled period in the multi-sampled multiband-structured subband adaptive filter (MS-MSAF), the adaptive convex combination of two MS-MSAFs is proposed in this paper, in which the individual filters independently run with different sampled periods. Moreover, the mean behavior of the convex-combined two MS-MSAF algorithm is also studied. In addition, the convex-combined two MS-MSAF algorithm with periodic feedback is also developed to further enhance the convergence performance. Finally, the validity of the proposed adaptive filtering algorithms together with their theoretical analyses is supported by computer simulations.