Wales will face Bosnia and Herzegovina in the World Cup qualifying playoff semifinals in March.
Craig Bellamy's side secured their place by finishing second behind Belgium in qualifying Group J and will be the home team for the one-off match.
Should Wales win, they will face either Italy or Northern Ireland for a place at the finals in North America next summer.
Northern Ireland, who qualified through the Nations League, have been handed the difficult task of travelling to Italy for their playoff semifinal.
The Republic of Ireland, who booked their spot in dramatic fashion thanks to a last-gasp victory over Hungary, will play away in the Czech Republic in their semifinal.
The winner of that match will take on either Denmark or North Macedonia.
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The draw was also made for the inter-confederation play-offs, from which the final two teams for the 48-strong finals will come.
Jamaica, who missed out on automatic qualifying to Curacao, will take on New Caledonia, with the winner facing the Democratic Republic of the Congo in the final. Bolivia and Suriname, meanwhile, will clash for the right to face Iraq.
Information from PA contributed to this report.