Two different processes, which lead to formation of multishell fullerenes, are reported and discussed. The first process is 3000degreesC high temperature treatment of C-60 -containing carbon blacks. The second process is laser vaporization of composite carbon targets, containing C-60 and vapor-grown carbon fibers (VGCF). It has been shown that the laser vaporization technique allows increasing the yield up to 40%. Possible mechanisms of formation of the outer shells are discussed.