Steady Ricci solitons model Type II singularity formation under the Ricci flow. By utilising a procedure first introduced by Lai, we construct new one-parameter families of steady gradient Ricci solitons with positive curvature operator admitting O(p)×O(q) symmetry in dimension p+q, for any pair of integers p,q ? 2. If time permits, we shall discuss their geometry at infinity and highlight some open questions regarding their asymptotics.