[1] He had disputes with the spiritual rulers in the area and with the Counts of Freiburg about the entangled rights and privileges they had (or claimed to have) on each other's possessions.
In 1250, some imperial and Hohenstaufen possessions became available for the taking after Emperor Frederick II had died.
Henry II grabbed some of these land and managed round off his territory.
For several years, he supported Count Rudolph of Habsburg in his disputes against the bishops of Basel and Strasbourg.
During the war against Bohemia, Henry II fought on the imperial side in the decisive Battle on the Marchfeld.