It is known that large class of classical string solutions in the type IIB AdS₅ × S⁵ background is related to the Neumann and Neumann-Rosochatius integrable systems, including spiky strings and giant magnons. It is also interesting if these integrable systems can be associated with some membrane configurations in M-theory. We show here that this is indeed the case by presenting explicitly several types of membrane embedding in AdS₄ × S⁷ with the searched properties.