Inclusion Criteria:

1. Histological diagnosis of chordoma.
2. Biomolecular or immunohistochemical evidence of Imatinib mesylate target (PDGFRβ activation and/or presence of PDGFB). Biomolecular assessment of PDGFRβ activation should be made whenever possible. To this end, if frozen material is not available, obtaining of, fresh material is encouraged, if it should be obtained with no major distress for the patient, preferably through an incisional biopsy (to allow immunoprecipitation) or, if this is not feasible, a Trucut biopsy (to allow Western Blot assessment). However, if frozen or fresh material cannot be obtained, paraffined material is also acceptable. The biomolecular assessment will be centralized to the reference centers (to be defined).
3. Measurable or evaluable disease

4. Surgical resection of local disease unfeasible radically, or unaccepted by the patient, or amenable to become less demolitive, or easier, or likely more feasible, after cytoreduction, and/or metastatic disease.

   Debulking surgery before enrolment is allowed. In this case, enrolment should occur at least one month after surgery

5. Performance status 0, 1, 2 or 3 (ECOG) (see § 8.1).
6. Adequate end organ function, defined as the following: total bilirubin <1.5 x ULN, SGOT and SGPT <2.5 x UNL (or <5 x ULN if hepatic metastases are present), creatinine <1.5 x ULN.
7. Adequate bone marrow function, defined as the following: ANC >1.5 x 10^9/L, platelets >100 x 10^9/L, Hb >9 g/dL. Blood transfusions are allowed to reach the baseline requested Hb level.
8. Female patients of child-bearing potential must have negative pregnancy test within 7 days before initiation of study drug dosing. Post menopausal women must be amenorrheic for at least 12 months to be considered of non-childbearing potential. Male and female patients of reproductive potential must agree to employ an effective method of birth control throughout the study and for up to 3 months following discontinuation of study drug.
9. Written, voluntary, informed consent.

Exclusion Criteria:

1. Previous treatment with any other investigational or not investigational agents within 28 days of first day of study drug dosing.
2. Other primary malignancy with <5 years clinically assessed disease-free interval, except basal cell skin cancer, cervical carcinoma in situ, or other neoplasms judged to entail a low risk of relapse.
3. Grade III/IV cardiac problems as defined by the New York Heart Association Criteria (i.e., congestive heart failure, myocardial infarction within 6 months of study)
4. Severe and/or uncontrolled medical disease (i.e., uncontrolled diabetes, chronic renal disease, or active uncontrolled infection).
5. Known brain metastasis.
6. Known chronic liver disease (i.e., chronic active hepatitis, and cirrhosis).
7. Known diagnosis of human immunodeficiency virus (HIV) infection.
8. Previous radiotherapy to >=25 % of the bone marrow.
9. Major surgery within 2 weeks prior to study entry.
10. Expected non-compliance to medical regimens.