Dic: filter (as a verb intransitive)

1. To pass through or as if through a filter: Light filtered through the blinds.
2. To come or go gradually and in small groups: The audience filtered back into the hall.

..... The American Heritage

• Light filtered into my kitchen through the soft, green shade of the cherry tree.
• It took months before the findings began to filter through to the politicians.
• News of the attack quickly filtered through the college.
• as indications filter in from polling stations.
• the horror stories which were beginning to filter out of Germany.

4. VERB | If light or sound filters into a place, it comes in weakly or slowly, either through a partly covered opening, or from a long distance away.

5. VERB | When news or information filters through to people, it gradually reaches them.

.... Cobuild