The business will be combined into the digital recruitment group in DMGT’s consumer media division, A&N Media.
The group, which includes businesses such as Jobsite, will be rebranded as Evenbase "to reflect the wider scope and international reach of the enlarged group".
Jobrapido, which was established in Italy in 2006, achieved revenues of around €24m and profits of around €6m in 2011.
It claims to be the second largest international job search engine in the world, delivering 660 million visits from job seekers in more than 50 countries last year.
The total value of the deal could be greater if the Jobrapido management tream achieves financial and business performance objectives.
Martin Morgan, chief executive of DMGT, said: "Bringing the Jobrapido team into the DMGT group is a great example of DMGT's core strategy in action.
"We seek out and acquire market leading businesses with strong positions in rapidly growing international markets.
"We have a strong culture of entrepreneurial management and like to retain and empower the people who built those businesses."