Not knowing how your breather is arranged, I can offer one suggestion. The Quota has a breather box welded into the frame just behind the steering head. Because water vapor comes up the breather tube as well as oil, it will eventually rust the inside of the breather box, especially if you take a lot of short trips. This is a bad thing because the rusty oil emulsion will then run back into your engine through the return lines into the heads. Yes, this actually happens, my bike had a sump full of rust chunks when I took it off. It has 8000 miles. Thankfully the pickup screen kept them out of the oiling system.
Once I saw that, I disconnected the return lines from the heads and routed them to the ground temporarily. Because they were still connected to the rusty breather box, they emitted a horrible orange-colored oil emulsion everywhere I stopped the bike. This weekend I constructed an alternate breather using copper plumbing fittings. This has a connection to the breather, a tee return line back to the heads, and a pipe at the top that will run to the air box. Just a mini no-rust version of the frame breather. I sprayed fogging oil into the frame breather and capped off the drains.
So...if you are seeing oily emulsion on the ground, chances are your mechanic has done as I did originally. I would not recommend an open breather return for two reasons. First, it's not cool to be dripping oil on the ground, fix it. Second, you will discover as I did that with some spirited riding, your oil breather will lubricate your rear tire. This is why old British bikes often have a breather exit affixed to the rear fender! For a temporary fix, you could put a catch can on the end of the line, but verify how it's plumbed first.