Nazimuddin Samad, 28, a masters student of the state-run Jagannath University's law department, was hacked by machete- wielding militants before being shot dead by suspected Islamist militants in Old Dhaka's Sutrapur area on Wednesday.
Though Ansar al-Islam, a banned Bangladeshi branch of al- Qaeda in the Indian Subcontinent (AQIS) has claimed responsibility for the student's killing, police said they "did not find anything that offends religious sensitivities".
Samad was involved with Ganajagaran Mancha, the popular movement raised to ensure maximum punishment for 1971 war criminals.
Police said they are yet to find any blogs written by him.
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"Media reports describe Nazim as a blogger. But we are yet to find his blogs. We have gone through his Facebook posts, but did not find anything that offends religious sensitivities," in-charge of the investigations Inspector Samir Chandra Sutradhar was quoted as saying by bdnews24.Com.
"He used to praise as well as criticise everyone," said Inspector Sutradhar.
Samad described himself as the information and research affairs secretary of Bangabandhu Jatiya Juba Parishad in the district in his Facebook profile.
Sutradhar said they have found entries in diary criticising government policies. Police are yet to come to any conclusion over who might be behind the murder.
Samad had been on a hit list of 84 atheist bloggers that a group of radical Islamists prepared and sent to Bangladesh's interior ministry.
His friends said Samad used to campaign for secularism on Facebook and was critical of radical Islamists. A day before the murder, he expressed concerns over the country's law and order in a Facebook post. He was known to have been critical of state religion in the Bangladeshi constitution.