This is a phase I, open-label, study of BP1001-A in participants with advanced or recurrent solid tumors. The dose escalation phase will determine the safety and the maximum tolerated dose (MTD) or maximum administered dose (MAD) of BP1001-A as a single agent. After the MTD or MAD of BP1001-A is established, the dose expansion phase will commence and determine the safety, toxicity and response of BP1001-A in combination with paclitaxel.