inroad /inˈrōd/

1. An incursion into an enemy's country
2. A raid
3. Encroachment

make inroads into

1. To make progress with
2. To use up large quantities of

• head-hugger
• head-huggers
• headhunt
• headhunted
• headhunter
• headhunters
• headhunting
• headhuntings
• headhunts
• headier
• headiest
• headily
• headiness
• headinesses
• heading
• headings
• headlamp
• headlamps
• headland
• headlands
• headlease
• headleases
• headless
• headlight
• headlights