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Assuming that you are an Indian citizen :
Romania - Transit Visa
Visa required.
Visa Exemptions
Passengers with a "D" visa issued by Bulgaria, Croatia, Cyprus or a Schengen Member State for a maximum stay of 90 days. TWOV (Transit Without Visa)
Passengers transiting through Bucharest (OTP), Cluj-Napoca (CLJ), Sibiu (SBZ) or Iasi (IAS) with a confirmed onward ticket for a flight to a third country within 24 hours. They must stay in the international transit area of the airport and have documents required for the next destination.
Saudi Arabia - Transit Visa
Visa required.
Visa Exemptions
First-degree family members of passengers with a 'Saudi Premium Residency' card. TWOV (Transit Without Visa)
Passengers transiting through Dammam (DMM), Jeddah (JED) or Riyadh (RUH) with a confirmed onward ticket for a flight to a third country within 12 hours. They must stay in the international transit area of the airport and have documents required for the next destination.
Only one transit stop-over in Saudi Arabia is permitted.
As you are doing self tranfers, you will need both a Saudi Transit Visa first (if you don't get it first, your Romanian visa will be denied :
- Supporting documents to get a B-type visa:
visa issued by the state of destination;
and then get a Romanian B visa, to be applied on the Romanian visa platform