A non-aqueous process for producing bitumen from oil sands is provided, and includes contacting oil sands and solvent to produce solvent diluted bitumen and solvent diluted tailings. The solvent diluted bitumen is subjected to a first fines separation stage that produces an overflow solvent diluted bitumen stream with residual fines that is subjected to a second fines separation stage to remove residual fines and produce a solvent diluted bitumen stream, which is subjected to solvent recovery. The fines streams are subjected to washing to produce washed tailings and solvent wash liquor comprising solvent and bitumen. Another non-aqueous process for producing bitumen from oil sands is provided, and includes subjecting oil sands to solvent extraction, including displacing the oil sands material and a solbit counter-currently and horizontally, and recovering a bitumen enriched solbit stream which is subjected to fines separation and subjecting the solvent diluted bitumen stream to solvent recovery.