oil leak when starting

I have a 92 Talon 2.0 turbo that leaks oil somewhere by the oil cooler that lasts for a minute or so then stops. The oil runs off the bottom of the oil cooler. Is this just a gasket issue, filter or?

You have to find the exact location of where it is. Then you can see where it's leaking. Seems like a hose may be leaking or a fitting may be leaking. Wipe everything down and then start her up and see where it's from.