From the top of the cable car, climb up to the Reither Spitze peak, from where you will be able to see much of this route. Descend down to the Nördlinger Hut and then begin the long, descending traverse to the Solsteinhaus. The traverse begins with the crossing of a scree bowl and then gradually leads you onto the ridge crest and the Freiungspitzen peak. This is a fairly remote peak and as such the summit is a great place to sit and breathe in the solitude.

Get moving again and follow the ridge as it descends down, via some steep scree slopes, to the forests above the Solsteinhaus. Hike down these to the hut itself, which is perched on a huge, barren-feeling col. Fuel yourself for a long descent to Hochzirl and then....do it! There's a train station (and not much else) in Hochzirl, from where you can easily get to Innsbruck or Seefeld.