We prove some contact analogs of smooth embedding theorems for closed $\pi$-manifolds. We show that a closed, $k$-connected, $\pi$-manifold of dimension $(2n + 1)$ that bounds a $\pi$-manifold, contact embeds in the $(4n − 2k + 3)$-dimensional Euclideanspace with the standard contact structure. We also prove some isocontact embedding results for π-manifolds and parallelizable manifolds.
