We present optical and NIR (near infrared) follow up observations of the GRB 001109 from 1 to 300 days after the burst. No transient emission was found at these wavelengths within this GRB's (Gamma Ray Burst) 50 arcsec radius BeppoSAX error box. Strong limits (3σ) are set with: R ⪆ 21, 10.2 h after the GRB; I ⪆ 23, 11.4 h after the GRB; H ⪆ 20.7, 9.9 h after the GRB; and KS⪆ 20, 9.6 h after the GRB. We discuss whether the radio source found in the GRB's error box (cite{taylor00}) might be related to the afterglow. We also present a multiwavelength study of a reddened starburst galaxy, found coincident with the potential radio and the X-ray afterglow. We show that our strong I band upper limit makes of the GRB 001109 the darkest one localised by the BeppoSAX's NFI (Narrow Field Instrument), and it is one of the most constraining upper limits on GRB afterglows to date. Further to it, the implications of these observations in the context of dark GRBs are considered. Based on observations made with telescopes at the Centro Astronómico Hispano Alemán (1.23 m + 3.50 m), at the Observatorio del Roque de los Muchachos (NOT + WHT), at the United States Naval Observatory (1.00 m) and at the Russian Academy of Sciences's Special Astrophysical Observatory (6.05 m). The NOT is operated on the island of San Miguel de la Palma jointly by Denmark, Finland, Iceland, Norway and Sweden, in Spain's Observatorio del Roque de los Muchahos of the Instituto de Astrofísica de Canarias. The Centro Astronómico Hispano Alemán is operated in Calar Alto by the Max-Planck Institut für Astronomie of Heidelberg, jointly with Spain's Comisión Nacional de Astronomía.