If your font includes composite glyphs with accents like àèìòù, then after running autometrics, select all composites, make them simple, and complete composites.
If they are not composites already, you will need to select them manually, and use complete composites.
Note that kerning will also have to be changed after running optical auto-metrics (or regular auto-metrics).
So, run optical metrics a few times until you’re satisfied with the results, before completing composites, or doing any kerning (auto or manual).
See this feature request thread to see how different values for optical metrics are needed for different typefaces. Don’t assume that the default value is right for your font, or that the right value for the regular type style is right for italics or other type styles.