Cassie,
Even with filtering, it is possible to get sediment in the form of potassium bitartrate crystals (some people refer to them as Wine Diamonds or Flavor Crystals). If your bottles are stored on their side and left undisturbed, sediment will likely stick to the side of the bottle or be caught in the neck upon pouring provided the bottle isn't jostled when opening or pouring.
While there are techniques to alleviate the formation of potassium bitartrate crystals in the bottle, you should not worry about this from a quality of wine standpoint and even if some sediment gets into a glass, it will likely be only when the dregs of the bottle are poured out.
- Jim