Possible Clues:

• Spread French territory's name for a time
• Sesame paste and Hawaiian tuna in special tin
• Hummus paste
• Falafel topper
• Old Irish story in a way admits friendly greeting goes down very well in Middle East
• Mideast cuisine staple
• Say thanks to attract attention coming back in with Middle Eastern paste
• ... as sesame paste turning in filling for big pork pie?
• Greek cuisine staple
• Type of sauce served with falafel