Mr. Orsi and Mr. Spagnolini haven't been charged in Italy, and the Italian investigation continues.
Mr. Orsi, who has denied any wrongdoing, was replaced as Finmeccanica CEO after his arrest.
Since their respective arrests, Mr. Orsi has been in prison and Mr. Spagnolini at his home.
The scandal came to light last month after Finmeccanica's chief Giuseppe Orsi was arrested in Milan.
Mr. Orsi was the CEO of AgustaWestland in 2010 when it won the India order.
Mr. Spagnolini succeeded Mr. Orsi at AgustaWestland when he became the CEO of Finmeccanica.
Mr Orsi was in the process of overhauling Finmeccanica to try to make the company profitable again.
BBC: Finmeccanica's Giuseppe Orsi held on corruption charges
Mr. Orsi has said that he would step down from his position if the government asked him to.
Mr. Orsi's lawyer has said repeatedly that his client denies any wrongdoing, and declined to comment further on Wednesday.
Mr. Orsi was AgustaWestland's CEO when it won the India order in 2010.
Giuseppe Orsi has been under investigation for bribery and embezzlement for several months.
BBC: Finmeccanica's Giuseppe Orsi held on corruption charges
"It started to rain really hard in the evening, and began to flood, " said Augustina Garcia Orsi, a 25-year-old student.
In a written statement, Finmeccanica expressed support for Mr. Orsi and said the company's operations wouldn't be affected by his arrest.
Mr. Orsi has always insisted he had done no wrong, while Mr. Spagnolini has never made a public statement about his arrest.
Mr. Fusco had Mr. Orsi and Mr. Spagnolini arrested in February as part of a preliminary investigation into possible fraud and international corruption.
Hours after Mr. Orsi's arrest, Indian Defense Secretary Shashikant Sharma said his government had ordered its federal investigation agency to examine the helicopter deal.
Tyagi, as well as Finmeccanica and its former chief executive, Giuseppe Orsi, and the Italian company's U.K.-based AgustaWestland unit and its former CEO, Bruno Spagnolini.
Mr Orsi is facing allegations that the Italian group's AgustaWestland unit used bribes in order to win the India contract for 12 helicopters in 2010.
BBC: Finmeccanica boss Orsi steps down amid corruption probe
Mr. Orsi's arrest is particularly politically sensitive because the Italian state owns slightly more than 30% of the defense company, making it the single largest shareholder.
Giuseppe Orsi, the chairman and chief executive of Finmeccanica, was arrested last week, along with Bruno Spagnolini, the chief executive of AgustaWestland, on corruption and tax fraud charges.
Finmeccanica's board named Alessandro Pansa as CEO after his predecessor, Giuseppe Orsi, was arrested in an investigation into the possible use of bribery to win a helicopter contract in India.
The arrest of Mr. Orsi comes just two weeks ahead of national elections and as voters are already exasperated by the string of corporate scandals that have emerged in recent weeks.
He left jail without speaking to reporters, but his lawyer issued a statement expressing confidence that the trial will show that Mr. Orsi was working to bring transparency to the state-controlled company.
The CBI began a preliminary investigation of the matter late last month at the request of the Indian government after the Feb. 12 arrest in Italy of Mr. Orsi, Finmeccanica's then-CEO, on bribery allegations.
This follows CBI's move to launch an initial inquiry on Feb. 25 into the allegations following the Feb. 12 arrest in Italy of Mr. Orsi, Finmeccanica's then-chief executive, for bribery, and a subsequent request for a probe by the Indian government.
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