Official count lists 1-1-1 extra medals unaccounted for in events list (gold for EGY, silver for ITA, bronze for LBN)
Boxing section lists nine categories out of 10 normally used (it's missing the Featherweight 57 kg category) so maybe it's possible that the tally is correct but the event listing isn't
In Boxing 54 kg event OR mistakenly lists silver-winning Veniero Innocenti (ITA) as Egyptian.
Italian Olympic Committee has stats up to 2005, says Italy's tally was 29–24–17 (70) and lists 1951 Games totals as 104–97–96 (297):
In boxing at 1951 Games it lists 5–3–1 (9) medals for Italy, as opposed to 5–1–1 in the official report (2 silvers unaccounted for)
In gymnastics it lists 3–5–6 (14) medals for Italy, as opposed to 2–4–1 in the official report (1 gold, 1 silver, 5 bronzes unaccounted for) - however, in the list of gold medalists it only lists Guido Figone and his two golds (corroborated by OR)
In rowing it lists 5–1–0 (6) medals for Italy, vs 4–1–0 (5) in OR (1 gold unaccounted for). Official report lists only 5 events - one is missing silver and bronze, one is missing bronze. Howver, in lists of gold medalists only lists athletes for four events (double sculls, coxed pairs, coxed fours, eights)
French Olympic Committee says France won 26 golds, "two less than Italy"
Italian OC lists fencer Roberto Ferrari as winning gold in individual sabre event (official report says he won bronze) - although Italian IOC has loads of mistakes
Golds and silvers are all accounted for; bronze count lists FRA 31, ITA 22, but events sum gives FRA 30, ITA 23, so one bronze seems to be attributed incorrectly)
Italian Olympic Committee lists totals as 113–115–120 vs 102–102–104 (OR), so 40 more medals.
Official 1963 reports count 65–65–75 (65 events), without athletics (21 events) + rowing (7 events) = 93 events total
No bronze event: 2 in rowing, 1 in boxing (93–3 = 90)
Double bronze events: 9 events in boxing, 2 in tennis (90+11 = 101)
Syria and Egypt formed the short-lived United Arab Republic (UAR) in 1958–61. In 1959 the unified country sent a team. But in 1961 Syria (SYR) seceded and in 1963 Games it sent its own team competing as Syria. Egyptian athletes continued to compete as UAR in 1963 and thereafter until their country was officially renamed back to Egypt in 1971. Medals won by the 1963 UAR team are retroactively attributed to Egypt (EGY) in official reports.
Double bronze, no silver? - 1 in sailing = 153 bronzes, 139–1 = 138 silvers
Double silvers, no bronze - 1 in gymnastics = 138+1 = 139 silvers, 152 bronzes = 139–139–152
Events list lists 139 events total - but two are mistakenly printed twice? (women's foil in fencing (FRA–TUR–YUG) and football (YUG-TUN-TUR)), so in reality 137 events
Real tally 137–138–151?
Hand count yields 137 events = 137 golds
Hand count FRA = 7–9–7 (23)
Hand count ITA = 51–39–29 (119) vs 51–38–30 (119) = 1 silver, 1 bronze mis-attributed
Hand count SYR = 0–2–6 (8)
Hand count LBA = 0–0–0 (0) vs 0–0–1 (1) = 1 bronze unaccounted for
Italy
France
Egypt
Turkey
Greece
Yugoslavia
Spain
Lebanon
Syria
France (FRA)
Italy (ITA)
Spain (ESP)
Egypt (EGY)
Turkey (TUR)
Greece (GRE)
Lebanon (LIB)
Syria (SYR)
Yugoslavia (YUG)
Tunisia (TUN)
Morocco (MAR)
Monaco (MON)
Algeria (ALG)
Libya (LBA)