This is a randomized Phase III clinical trial in the setting of localized high-risk soft tissue sarcomas (STS). This study will compare a standard neoadjuvant chemotherapy with epirubicin plus ifosfamide versus a histology-driven chemotherapy, i.e. a chemotherapy tailored to the specific histology within the family of adult STS. Chemotherapy will be administered for 3 cycles. There will be five histological groups (representing 80% of STS), as follows: leiomyosarcoma, myxoid liposarcoma with hypercellularity (round cell MLPS), synovial sarcoma, malignant peripheral nerve sheath tumor (MPNST) and undifferentiated pleomorphic sarcoma. The histology-driven chemotherapy for these groups will be, respectively, gemcitabine plus dacarbazine, trabectedin, high-dose ifosfamide, ifosfamide plus etoposide, gemcitabine plus docetaxel. Other histological groups will also be included and registered, but treated only by standard chemotherapy. Patients who have already undergone definitive surgery will receive treatment post-operatively and patients needing a re-excision after inadequate surgery will be treated as patients in the two groups, but of course will not be evaluable for response. A centralized pathological review will be performed. Radiological response will be evaluated according to RECIST and to Choi criteria. Pathological response will also be recorded.