Maybe try to talk to somebody in your uni? Making this by yourself sounds risky and difficult.
Your goal as a student was to cultivate as many useful contacts as possible, among your teachers and among your fellow students, but also in the business community you plan to make a career in. If you failed to do this, then finding a cushy and interesting internship that will further your career goals will indeed be a difficult task.
I tell my students that they should develop strong relationships with their professors, greet them warmly every time they see them, pop by their office if only to say hello and keep them posted about your progress, ask intelligent questions about the work they are doing or have done, and generally to butter them up without being obnoxious.
Professors get cookies to hand out, and they hand them out to those students and former students who pop into their minds first. These cookies range from invitations to conferences and other events, letters of recommendation and introduction, job leads, graduate programs and, yes, internships. When people in the business world are looking for promising new talent, they often call up professors for leads.
Your goal as a student was to become one of the names that pops right into their minds. Not necessarily because you excelled in academics, though that helps. But there are a lot of top students who fail to ingratiate themselves with their professors and thus do not come to mind when someone mentions an internship or job opportunity.
If you failed to do so, then there is no time like the present for damage control and making up for lost time. Get your butt to the university, meet with every single professor you can, do your utter best to dazzle them with your brilliance and charm, and hope that some of the mud you fling on the wall sticks. It's time to hustle now, and if you snooze, you will certainly lose.
Also, as a recent grad, you would be very foolish indeed if you were to limit your search to a single city in a single country. Cast your net very wide, because you are fishing in waters where trophies are very sparse indeed.
As Monitor said, apply for every opportunity you can find.
One last word of advice. The best opportunities never get posted on the internet. The one thing you should have learned in management school is that real business, including hiring, takes place in the REAL world between REAL people with REAL handshakes. Word or mouth is worth more than an impressive CV or top grades. If you rely solely or primarily on the internet and social media for your job search, you drastically reduce your chances of finding a quality position, so get your lazy butt out there and start knocking on doors.
