The shares were purchased via on-market trades at an average price of 27.88 cents.
Sofoulis is a major shareholder in the company with 30.54 million shares.
Last week, Swift revealed its December half result showing EBITDA of $2.74 million for the half representing a year-on-year growth of 168%.
The company also achieved revenue of $12.47 million for the half year, delivering year-on-year revenue growth of 20%.
Swift is a diversified telecommunication, advertising and content solutions provider with services including free-to-air television, pay television, video on demand, integrated advertising and analytics.
The company recently changed its name to Swift Media Ltd from Swift Networks Group Ltd.