Low sulfur fuel oil blend compositions and methods of making such blend compositions to increase the stability and compatibility of LSFO blends having paraffinic resids that are blended with distillates and/or cracked stocks of higher asphaltenes and/or aromatics content. In one or more embodiments, distillates and/or cracked stocks that incrementally reduce the initial aromaticity of the distillate or cracked stock with the highest aromaticity are sequentially blended prior to resid addition. Such incremental reduction and sequential blending have been found to provide a resulting low sulfur fuel oil blend that is both compatible and stable.