How do parties usually end up in conciliation?

Most (although not all) conciliation clients come to the process after hitting and impasse in litigation. With the Covid crisis drastically reducing access to courts, many parties and their attorneys are now seeking conciliation where judges are simply not available. Conciliation often represents a middle ground between fully committing to mediation vs. continuing with litigation. Because most conciliations include the participation of attorneys, the conciliator is often suggested and/or selected by the attorneys.