Greek Meaning: The name Saba is a Greek baby name. In Greek the meaning of the name Saba is: From Sheba. Muslim Meaning: The name Saba is a Muslim baby name. In Muslim the meaning of the name Saba is: Eastern wind.SoulUrge Number: 2. Expression Number: 5. People with this name have a deep inner desire for love and companionship, and want to work with others to achieve peace and harmony.uslim Meaning: The name Saba is a Muslim baby name. In Muslim the meaning of the name Saba is: Eastern wind. SoulUrge Number: 2. Expression Number: 5. People with this name have a deep inner desire for love and companionship, and want to work with others to achieve peace and harmony.