A new and distinct cultivar of Chrysanthemum plant named ‘;Fichrymerpibic’;, characterized by its upright to outwardly spreading and uniformly and broadly mounded plant habit; moderately vigorous growth habit; freely branching habit; dense and full plant form; uniform and freely flowering habit; semi-decorative-type inflorescences with light and dark purple bi-colored ray florets; mid-season flowering habit, grown under natural season conditions, plants begin flowering in mid-September in the United Kingdom; and good garden performance.