1. to make progress toward resolving a dispute, conflict, or negotiation by moving closer to a settlement agreement
The two parties agreed to advance toward settlement by accepting mediation.
As duas partes concordaram em avançar em direção a um acordo ao aceitar mediação.
2. to take steps or actions that bring one closer to reaching a final agreement or resolution
The negotiations began to advance toward settlement after weeks of stalemate.
As negociações começaram a avançar em direção a um acordo após semanas de impasse.