Given a collection of pairwise co-prime integers m1, . . . , mr, greater than 1, we consider the product Σ = Σm 1 × · · · × Σm r , where each Σm i is the mi-adic solenoid. Answering a question of D. P. Bellamy and J. M. Lysko, in this paper we prove that if M is a subcontinuum of Σ such that the projections of M on each Σm i are onto, then for each open subset U in Σ with M ⊂ U , there exists an open connected subset V of Σ such that M ⊂ V ⊂ U ; i.e. any such M is ample in the sense of Prajs and Whittington [10]. This contrasts with the property of Cartesian squares of fixed solenoids Σm i × Σm i , whose diagonals are never ample [1].

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