Respected Harsh Srivastva.

Here is the list of engineering colleges in Mumbai offering direct entry:-

• Manjara Charitable Trust's Rajiv Gandhi Institute of Technology, Mumbai
• Vidyalankar Institute of Technology,Wadala, Mumbai
• Mahavir Education Trust's Shah & Anchor Kutchhi Engineering College, Mumbai
• Ramrao Adik Edu Soc, Ramarao Adik Instt. of Tech., Navi Mumbai
• M.G.M.'s College of Engineering and Technology, Kamothe, Navi Mumbai
• Thakur College of Engineering and Technology, Kandivali, Mumbai
• K.J.Somaiya College of Engineering, Vidyavihar, Mumbai
• Thadomal Shahani Engineering College, Bandra, Mumbai
• Anjuman-I-Islam's M.H. Saboo Siddik College of Engineering, Byculla,Mumbai
• Fr. Conceicao Rodrigues College of Engineering, Bandra,Mumbai
• Vivekanand Education Society's Institute of Technology, Chembur, Mumbai
• N.Y.S.S.'s Datta Meghe College of Engineering, Airoli, Navi Mumbai
• Padmabhushan Vasantdada Patil Pratishthans College of Engineering, Sion,Mumbai
• Bharati Vidyapeeth College of Engineering, Belpada, Kharghar, Navi Mumbai
• Don Bosco Institute of Technology, Mumbai
• K J Somaiya Institute of Engineering and Information Technology, Sion, Mumbai
• Xavier Institute Of Engineering C/O Xavier Technical Institute, Mahim,Mumbai

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If you require to know colleges for which you are eligible then you should go to the link mentioned below.

Link - JEE Main College Predictor

So, I hope this helps you.

Good luck!