Your future employer must notify the job vacancy to the local Labour Exchange Office of his place of establishment, at least 21 days in advance and later submit an application and supporting documents for the adoption of the decision on you meeting the Lithuanian labour market needs.
While awaiting the decision, you can apply for a residence permit at the embassy or consulate in your country of residence. If you are lawfully residing in Lithuania you can apply at the territorial migration services.
Extended information can be found on Europe's Immigration portal
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