Goals at the end of each half from Dedic and Engels gave FSV Frankfurt a fourth straight away victory in the 2.Bundesliga as they moved up to 11th in the table.
1860 came into this encounter as slight favourites after thumping 4-1 and 3-0 victories in recent weeks, though both of those came on the road, and the Munich side were on a run of three straight defeats at home.
They started on the back foot too, when Joan Oumari had the chance to score his second of the season, only to see his header drift off target just five minutes in.
Konrad had the next chance when he broke into the Munich half, but he wasted the chance when he let fly from long range, with no threat to Ortega's goal at all.
The visitors were forced into a substitution half way through the first half when Huber had to be replaced by Ballmert, but that didn't cause them to let up at all. Dedic and Engels then had chances in the area but failed to convert, as the away supporters were beginning to wonder if they would be made to pay for their poor finishing.
After 30 easy minutes for referee Markus Wingenbach, he had his first big decision to make when Adlung broke into the Frankfurt area and fell to the ground, but the officials were not interested and waved away any protests.
Martin Angha then forced the visiting 'keeper into a smart save, before Valdet Rama let fly from 25 yards - though his shot was always going wide.
The deadlock was broken just a minute before the break though, and it was well worth the wait. Dedic picked up the ball midway through the half, and after skipping past two challenges, produced a deft chip over Ortega to put his side ahead.
FSV started the second half much like they ended the first, looking deadly on the counter attack, while 1860 were looking to Adlung for a creative spark that would let them get back into this game.
It was Adlung who had the next good chance for Munich, finding time 20 yards out, and although his low shot was dipping, it was straight at Klandt.
Grifo then nearly doubled the lead for Frankfurt, but his costless kick flew into the side netting from the angle of the box.
The game was starting to open up more, and that man Adlung had another chance when his teammate was scythed down on the edge of the box. Although it was too close to get over the wall and back down, his flashed a drive towards the other corner, and Klandt was again forced into a great save.
Fejsal Mulić had the next good chance to equalise when he broke away from his marker, but bearing down on the box, the youngster scuffed his shot wide of the post, as the game started to drift away from the home side. They carried on pressing though, and substitute Mulić had another golden opportunity when he headed wide with the goal gaping just ten minutes from time.
Munich were still pressing for the equaliser and it looked likely to a second goal, though it again came for the visitors when the home side threw men forward. A fantastically weighted through ball sent Engels away, and he was left to round Ortega and seal the win late on.
1860 are now languishing just two points from safety, and it looks to be a tough battle this season unless they can replicate their away form at home.
