Bula is currently out of work after leaving his role with Gibraltar in March and he is actively looking to get back into management.
The 50-year-old is highly-regarded in coaching circles after impressing as academy manager at Slovakian club MFK Kosice where he was credited with helping bring through Chelsea and Serbia star Nemanja Matic.
Bula took charge of Gibraltar in November 2009 and helped oversee the British Overseas Territory became the newest member of UEFA in May 2013.
Gibraltar recorded a 0-0 draw with Slovakia in its first international game and their first win came in a friendly date with Malta last June.
In their first European Championship qualifying campaign Gibraltar have found life difficult, losing all six of their qualifiers to date to the likes of Germany, Poland, Scotland and Republic of Ireland.
Elche are searching for a new manager after Fran Escriba left the club following their relegation to the second division because of unpaid debts to the tax authorities.
Finland are also searching for a new manager following the sacking of coach Mixu Paatelainen after a fourth straight defeat in qualifying for Euro 2016.
Bula has admitted that although he is hoping to get a manager's job, he would also be interested in working as an assistant manager in England.
"I'm very eager and excited to get back into management and coaching, be it for a national team or club side," Bula told HITC Sport.
"My agent Gregg Houghton is speaking with several teams at the moment including the Finland national team and club side Elche CF of Spain.
"I would also consider an assistant role at a UK team, as you can see I'm very open to different challenges."