Exact half-BPS flux solutions in M-theory II: global solutions asymptotic to AdS7 x S4

General local half-BPS solutions in M-theory, which have SO(2,2) x SO(4) x SO(4) symmetry and are asymptotic to AdS(7) x S-4, were constructed in exact form by the authors in [arXiv: 0806.0605]. In the present paper, suitable regularity conditions are imposed on these local solutions, and corresponding globally well-defined solutions are explicitly constructed. The physical properties of these solutions are analyzed, and interpreted in terms of the gravity duals to extended 1+1-dimensional half-BPS defects in the 6-dimensional CFT with maximal supersymmetry.