Allegedly tortured and "held captive" by their employers, the workers are stuck in the Arabian Peninsula nation, relatives of the stranded plumbers said.
At least seven skilled labourers had made their way to Oman through a local labour contractor.
The stranded workers are Pradipta Prasad Ghadai, Prakash Kumar Ghadai, Srikar Mallik, Rabindra Ghadai, Nihar Ranjan Swain, Sarada Prasad Khatua and Birandra Ghadai, officials said.
"The labourers are held captive by their employers. They had raised their voice against the low wages. Forced to toil for over 12 hours in a day, they are packed like sardines in a dimly-lit house in inhospitable conditions. They were beaten up by the employer's henchmen for raising their voices," Ghadei said.
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"My nephew Pradipta had called me four days back and narrated his plight in Oman. They are in distress," he added.
In most parts of Kendrapara, plumbing is an important
economic activity and is a source of livelihood for thousands of families. It has been followed for generations, District Labour Officer Satya Narayan Acharya said.
Besides major urban centres, plumbers from Pattamundai, Rajnagar and Aul region have spread to various places across the country and many have made their way to Gulf and middle-east countries, he said.
"But our conservative estimates put the migrant plumbers' figure at 18,000 to 20,000," the official added.