The cheapest day to depart on your flight to Tallinn is on a Friday when prices can be found for as low as $1,784. This is often the case because there is less demand to fly during this day of the week. Flights from New Zealand to Tallinn on a Sunday will generally be more expensive and average around $2,338. Keep in mind that these prices on both days could fluctuate depending on the season and the demand.
Finding an alternative and possibly cheaper destination airport near Tallinn is possible. If you are planning a flight to Tallinn, consider booking flights to Kärdla Airport (120 km from Tallinn city centre).