Trim alkali metal desulfurization of refinery fractions

A method for desulfurizing a feedstock, comprising:

• exposing a feedstock to conversion conditions to form a conversion effluent, wherein the conversion effluent comprises a hydroprocessed effluent, the conversion conditions comprising hydrotreating conditions, demetallization conditions, or a combination thereof in the presence of at least one catalyst having a median pore diameter of at least 100 Angstroms, the hydrotreating conditions optionally comprising conditions effective for conversion of at least 50 wt % of the feedstock relative to 370° C.;
• separating the conversion effluent to form at least a first converted fraction comprising at least 30 wt % aromatics, a sulfur content of 0.5 wt % to 3.5 wt %, a content of Ni, V, and Fe of 10 wppm or less, and a T5 distillation point of at least 230° C.;
• contacting at least a portion of the first converted fraction with alkali metal in the presence of H2-containing gas to form a converted mixture comprising alkali metal salt, the converted mixture comprising a molar ratio of alkali metal to sulfur of 0.5 to 5.0;
• separating the converted mixture to form a desulfurized converted fraction comprising a sulfur content of 0.05 wt % to 0.5 wt % and at least one alkali metal salt-containing fraction comprising at least 50 mol % of the alkali metal in the converted mixture;
• and
• regenerating at least a portion of the alkali metal in the alkali metal salt-containing fraction to elemental alkali metal.