The company, which also owns Flannels and Jack Wills, among others, has 3.025m shares of common stock, which represent a stake of 4.3% in Hugo Boss.
In addition, it now has 21.139m shares of common stock via the sale of put options, up from 20.09m previously, representing a stake of 30.03%.
This takes its overall stake in Boss to 34.33%, up from 32.8% last month. The stake is worth around €1bn (£875m).