The third accused, Spanish-Colombian Hernando Giraldo Franco, 60, was not present as he was brought to another location to show investigators where a car was allegedly left at.
Police said on Sunday that they were alerted to housebreaking cases along Cluny Park, Dunearn Close and Eng Neo Avenue between May 9 and May 10.
They seized a car, a circular power saw, an assortment of jewellery, and cash of more than S$6,000 (US$4,610), €3,100 (US$3,470) and US$6,400 from the three men.
The three men were arrested within 27 hours of the first case being reported, said the police.
They were given one charge of housebreaking. If convicted, offenders may be jailed for up to 10 years and fined.