The West Indies Cricket Board (WICB) Sunday withdrew their Under-19 national cricket team from a seven-match series underway in Bangladesh after the bombing in the port city of Chittagong.
Bangladesh Cricket Board (BCB) officials said they were trying to persuade the team to stay on.
"We've talked to West Indies Under-19 team management this morning. They are happy with the arrangements and the extra security we have made," BCB chief executive officer Nizamuddin Chowdhury told AFP.
Chowdhury said the blast in Chittagong amid escalating violence in the unrest-plagued nation would not affect the 16-nation World Twenty20 in March and April.
Also Read
"We are confident the situation would be normal by then," he said.
An ICC spokesman told AFP the world body was "actively monitoring" the situation in Bangladesh and stressed it gave the highest priority to the safety of all participants in ICC events.
"Security plans for the ICC World Twenty20 Bangladesh 2014 have been drafted and are continually being reviewed and updated," the spokesman wrote in an email.