Stand-off Ian Keatley struck from just inside Edinburgh's half after prop John Andress had collapsed a scrum.
"If you look where that scrum is, and where the penalty was taken, there was definitely a metre taken there," the head coach told BBC Scotland.
"It looked to me that the ball, had it been taken from the right spot, would have gone under the bar."
As part of the Pro12's post-match review protocols, Solomons said he will "definitely" raise the issue.
The late penalty aside, the South African was frustrated with Edinburgh's inability to secure victory in a match they ought to have won.
Will Helu scored a brilliant, flowing try for the hosts - a rare moment of fluency and precision for Edinburgh, who lacked composure and committed too many errors.
And the hosts almost snatched victory on the last play after Damien Hoyland's interception saw them pound the Munster line well beyond 80 minutes, climaxing with a rather hurried drop-goal attempt from Sam Hidalgo-Clyne that was charged-down and spilled.
"There's no question about that - we should have won this game," added Solomons.
"I thought key decision-makers at times didn't have the composure. That happens. We made a rod for our own back with silly decisions that were taken.
"It was a superb try and I thought we could get in there at the end, but I think we just had to hold the ball down there and the points would have come.
"I thought we played poorly against Zebre [two weeks ago] and fully deserved to lose. I thought we should have come away with a draw at Connacht [last weekend], and this game is a game we should have won.
"We've got to look at ourselves. It's those little things, those fine margins we spoke about at the end of the game between winning and losing, and we've got to make sure those fine margins fall on our side."

Developer Allied London bought the Quay Street site in a joint venture with Manchester City Council and plan to build flats, shops and offices there.
The ITV soap was filmed there from 1982 until January 2014, when production moved to MediaCityUK at Salford Quays.
Manchester City Council's planning committee voted to approve the redevelopment at a meeting on Thursday.
The move comes despite more than 2,000 people signing an online petition in the hope of preventing the set from being knocked down.
Campaigners had particularly called on developers to retain the Victorian terrace featuring the Rovers Return Inn and the soap's corner shop in their regeneration of the 13-acre site.
English Heritage rejected the application for listed status for the old Granada Studios site made by an anonymous individual in 2012 because it was not considered sufficiently historic.
The development will form part of the wider St Johns area, which is also set to feature a new Â£110m theatre and arts venue called The Factory.

The Doha-based operation is owned by the Qatar government. Its main Arabic network is the leading pan-Arab TV news station.
Al-Jazeera Arabic can be outspoken on subjects deemed as sensitive in the region, but avoids criticism of Qatar and its Gulf allies, specifically Saudi Arabia. It has faced curbs in several Arab countries where it has ruffled feathers.
Al-Jazeera English launched in 2006. Other offshoots include Al-Jazeera Balkans, based in Bosnia, and US-based Al-Jazeera America.
Al-Jazeera Network has more than 70 bureaux worldwide and employs around 3,000 staff.
Domestic audiences are catered for by state-run TV and radio. The large expatriate population has access to media from their various home countries.
Qatar has daily newspapers in Arabic and English. The main titles have links to the ruling family and there is little or no critical reporting of domestic or foreign policy affairs.
BBC World Service radio in Arabic, Radio France Internationale, France's Arabic-language radio service Monte Carlo Doualiya, UAE-based MBC and Radio Sawa from the US are available on FM in Doha.
Qatar has advanced internet infrastructure and is widely connected to the web. There were 2.2 million internet users by 2014 (Internetlivestats.com).
Authorities filter political criticism, material deemed offensive to Islam, pornographic content and online privacy resources.
The top social networks used in Qatar are Facebook, Twitter and Instagram.
Alan Solomons felt the penalty that beat his Edinburgh team against Munster was taken beyond the mark.
[NEXT_CONCEPT]
The former Coronation Street set in Manchester is to be demolished, despite a campaign to save it.
[NEXT_CONCEPT]
Influential pan-Arab and international TV broadcaster Al-Jazeera has raised Qatar's media profile.