She is headed to Bangkok at the invitation of her Thai counterpart Srettha Thavisin
The arrests were made late on Sunday during raids by the counter-terrorism unit at Companiganj Upazila.
Those detained have been identified as 23-year-old Amzadul Islam Russel and a tenth grader of a local school, said Companiganj OC Syed Fazle Rabbi.
Russel studies computer science at Dhaka's Uttara University.
Both of them have been taken to Dhaka soon after the raid, said OC Rabbi.
No comments were available from the counter-terrorism unit over the Noakhali raid.