Celebrant Julia Page, from Llantwit Major, has said that some families are being "left heartbroken" with the current situation.
"Families are heartbroken but I think that [funerals] should definitely continue because it is at least giving people an opportunity to say goodbye to their loved ones.
"It is difficult because it is such an intrinsic part of the process and having that emotional connection with people is important."
Funeral Director Tyrone Griffiths echoed the thoughts of Julia, saying, "It is just the uncertainty of the situation" that has been causing issues.
Usually I would remind people at services to turn off their phones but now I am instead reminding people to sit more than two metres away from each other.
The have asked people to maintain a two metre distance from each other. This is in place during funeral services as well, which Tyrone believes has made things a lot tougher for grieving families and friends, who can no longer comfort each other with a hug.
It is really difficult for families to comfort each other in the current situation.
The Archbishop of Wales John Davies spoke of the troubles that families have been facing during this difficult time, with bishops taking the decision to not hold large church services.
He said, "It is so difficult, Wales is one of those places where people turn up to funerals in large numbers."
Trying to ensure that guidelines are followed with people sitting six feet apart is pastorally so terribly, terribly difficult.
Despite the changes, there are some ways that families and friends can still come together to celebrate life and connect with each other, according to Julia Page.
Julia said, "The first contact I usually have with families is when the directors give me their name and I meet them to get information about the individual but that is instead being done over the phone."
"The structure is still the same though and the feedback I have had from families has been really nice, a lot of people have been grateful for the way in which services have been done."
Another celebrant, Lisa Kendell, expressed other ways that families can stay connected during their grief, saying, "You can invite your family and friends to a virtual meeting at a time that they can dedicate to someone."
It is nice because people are seeing others and can still remember the person in the right way.