Renfrewshire based Ciboodle, which has its registered office at Inchinnan, specialises in products for contact centres and was sold by French business Sword in July last year.
Annual accounts for the Scottish company show it recorded a 9% hike in turnover, from £12.15 million to £13.3m, in the 2012 calendar year with a rise in overseas sales making up for a £620,000 slide in UK revenue.
Operating profit came in at £376,508, against a loss of £62,378 the previous year.
Writing in the most recent accounts the directors said: "The company experienced a decrease in third party revenue during the year which was the result of lower licence sales to new customers, however, this was partially offset by strong growth in services and maintenance revenue to existing customers.
"In addition there was an increase in sales to other group companies.
"The directors are confident the company will continue to develop as a result of product investment and greater market penetration post acquisition."
The pre-tax profit figure for 2012 was £3.2m but was skewed by a £2.7m payment from shares in group undertakings.
Ciboodle had posted a £75,024 pre-tax profit in 2011 thanks to interest and other financial income offsetting the operating loss.
Staff numbers during 2012 were unchanged at 180 with costs steady at £9.1m.
Kana, founded in 1996, has its headquarters in Sunnyvale, California.