Captain Adit Arya (Arjun Rampal) is a special agent of the Indian army. When the Indian president Veer Pratap Singh (Mohan Agashe) is kidnapped by Rafiq Mabroz (Shawar Ali) in exchange for cash rewarded by renowned terrorist Youssan Baksh (Mukesh Rishi) and General Ansari (Milind Gunaji), Adit is sent undercover to rescue the president and his daughter, Kinjal (Dipannita Sharma).
The mission is coded "Asambhav". Adit poses as a journalist for Indiatimes, and manages to make his way to Switzerland with the help of a RAW agent called Atul Bhatnagar (Jameel Khan). On the flight, Adit meets Alisha (Priyanka Chopra). Alisha is a singer, and has come to Switzerland under a contract in order to do a show with Sam Hans (Naseeruddin Shah). Her friend Shilpa (Chitrita Sharma) accompanies her. However the people who Alisha and Shilpa have come to Switzerland with, are drug smugglers. Shilpa is murdered when she finds this out, and Alisha pretends she knows nothing. She meets up with Adit, and together they help each other, during which Adit and Alisha fall in love with each other.
Adit starts the investigation of the case, during which he comes to know about General Ansari and Youssan Baksh. He starts linking the entire events from Shilpa's murder to president's kidnapping and comes to know that Sam Hans, General Ansari, Youssan Baksh and Rafiq Mabroz are all involved together. Sam Hans discovers Shilpa's dead body and breaks up with General Ansari and his agents, who pose as businessmen.
Hans' friend Ranjit Parmar (Yashpal Sharma) is a member of the Indian embassy. However, while investigating the files of the Indians in Switzerland, he reads the file of Rafiq Mabroz and comes to know that he is a terrorist. He informs Hans about the situation and Hans decides to fight ISI. However, he signs a deal with ISI by kidnapping the president from Youssan Baksh and returning the president to Baksh in exchange of 50 Million Pounds.
Parmar suspects that someone of the Indian embassy is a traitor and is helping the terrorists. He finds out that Ms. Brar (Tora Khasgir) is a traitor. He informs the ambassador G.L. Sarin (Sharat Saxena) about the whole situation and is attacked by Mabroz. Parmar is unconscious. Upon regaining consciousness, he discovers that Ms. Brar and Sarin are both traitors and are associates of Mabroz. Mabroz kills Parmar and Sarin leaves a suicide note beside Parmar.
Capt. Arya and Bhatnagar visit Parmar in his room and are surprised to see him dead. They read the suicide note and inform the embassy about it, during which Arya reveals that the ambassador G.L. Sarin is the traitor because of his head-stamp on the letter. Arya tries to finish Sarin but Brar calls the police to get Arya and the ambassadors arrested. Arya shows the police his card that he is an army member while Sarin and Brar flee. Arya chases them and Gazi (Chetan Hansraj) tries to attack Arya. Arya runs after Gazi and is attacked by ISI agents and Youssan's men in a fort. They try to kill Arya but Arya fires back and kills all of them including Gazi.
Adit reaches Youssan's headquarters, where the president is kept captive. He kills General Ansari and all of Youssan's men. Youssan takes the president and flees. Adit chases him. On the other hand, Sam has captured Alisha and Kinjal, but is stopped by Ambassador Sarin, who has Hans's friend Brian as captive. Hans gives them the money in exchange for Brian's safety but Sarin kills Brian. Hans kills Mabroz's men. Ms. Brar and Volga (Anupama Verma) chase Alisha and Kinjal until they trap them near a helicopter. Brar and Volga kill each other while firing at Alisha and Kinjal, who dodge the attack. Sarin tries to finish Hans but Hans kills him to avenge the death of Brian.
Youssan tries to finish the president but Adit kills Youssan and saves the president. Alisha and Kinjal join Adit and the president. Mabroz tries to fire Adit but Adit kills him. In the end, Adit meets Sam and Sam confesses all the sins that he committed throughout his life and promises to improve himself. Adit and Sam make friends after being the arch rivals throughout the Mission Asambhav. Adit goes back to India with his girlfriend Alisha, Kinjal, President and Atul Bhatnagar.
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