An apparent meteorite that reappeared as a slowly flashing object going in the opposite direction.

Looking at the western night sky about an hour after sunset, I noticed an apparent meteorite or shooting star, very bright and leaving a long trail, traveling due west towards the horizon. Immediately after disappearing, from the exact point the object burnt out, a light appeared, very slowly flashing from extremely bright to completely invisible (I’d say a period of every four seconds or so, it was hard to follow across the sky because it wasn’t flashing rapidly) and after tracking it for a minute, I realized it was more or less going back in the same direction it had entered from (i.e. traveling due east). I watched it until it disappeared behind the trees in the east. It kind of looked like a satellite, but I’ve never seen a satellite that brightened and dimmed periodically, and I checked all satellite and flight trackers and nothing showed up in the area.